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Leonard Eugene Dickson. 1874–1954. (English) Zbl 0065.24408


MSC:

01A70 Biographies, obituaries, personalia, bibliographies

Biographic References:

Dickson, Leonard Eugene
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[1] Leonard E. Dickson, On the inscription of regular polygons, Ann. of Math. 9 (1894/95), no. 1-6, 73 – 84. · JFM 26.0568.01 · doi:10.2307/1967509
[2] Leonard Eugene Dickson, Gergonne’s pile problem, Bull. Amer. Math. Soc. vol. 1 (1895) pp. 184-186. · JFM 26.0239.03
[3] Leonard Eugene Dickson, Cyclic numbers, Quarterly Journal of Pure and Applied Mathematics vol. 27 (1895) pp. 366-377. · JFM 26.0206.02
[4] Leonard Eugene Dickson, A quadratic Cremona transformation defined by a conic, Rend. Circ. Mat. Palermo vol. 9 (1895) pp. 256-257. · JFM 26.0610.01
[5] Leonard E. Dickson, Analytic Functions Suitable to Represent Substitutions, Amer. J. Math. 18 (1896), no. 3, 210 – 218. · JFM 27.0105.02 · doi:10.2307/2369795
[6] Leonard Eugene Dickson, The analytic representation of substitutions on a power of a prime number of letters with a discussion of the linear group, Ann. of Math. 11 (1896/97), no. 1-6, 161 – 183. · JFM 28.0135.03 · doi:10.2307/1967224
[7] Leonard Eugene Dickson, A triply infinite system of simple groups, Quarterly Journal of Pure and Applied Mathematics vol. 29 (1897) pp. 169-178. · JFM 28.0136.01
[8] Leonard Eugene Dickson, Systems of continuous and discontinuous simple groups, Bull. Amer. Math. Soc. vol. 3 (1897) pp. 265-273. · JFM 28.0320.02
[9] Leonard Eugene Dickson, Higher irreducible congruences, Bull. Amer. Math. Soc. vol. 3 (1897) pp. 381-389. · JFM 28.0185.01
[10] Leonard Eugene Dickson, Orthogonal group in a Galois field, Bull. Amer. Math. Soc. vol. 4 (1898) pp. 196-200. · JFM 29.0118.03
[11] Leonard Eugene Dickson, Systems of simple groups derived from the orthogonal group, Bull. Amer. Math. Soc. vol. 4 (1898) pp. 382-389. · JFM 29.0118.03
[12] Leonard Eugene Dickson, The structure of the hypoabelian groups, Bull. Amer. Math. Soc. vol. 4 (1898) pp. 495-510. · JFM 29.0119.01
[13] Karen V. H. Parshall, A study in group theory: Leonard Eugene Dickson’s Linear groups, Math. Intelligencer 13 (1991), no. 1, 7 – 11. · Zbl 0714.20001 · doi:10.1007/BF03024065
[14] Leonard Eugene Dickson, A new triply-infinite system of simple groups obtained by a twofold generalization of Jordan’s first hypoabelian group, Bull. Amer. Math. Soc. vol. 5 (1898) pp. 10-12. · JFM 29.0121.04
[15] Leonard Eugene Dickson, Concerning a linear homogeneous group in C, Bull. Amer. Math. Soc. vol. 5 (1898) pp. 120-135. · JFM 29.0119.02
[16] Leonard Eugene Dickson, Simplicity of the Abelian group on two pairs of indices in the Galois field of order 2>1, Quarterly Journal of Pure and Applied Mathematics vol. 30 (1898) pp. 383-384. · JFM 29.0118.02
[17] Leonard Eugene Dickson, The quadratic Cremona transformation, Proceedings of the California Academy of Sciences vol. 1 (1898) pp. 13-23.
[18] Leonard Eugene Dickson, Systems of simple groups derived from the orthogonal group, Proceedings of the California Academy of Sciences vol. 1 (1898) pp. 29-40.
[19] Leonard Eugene Dickson, Systems of simple groups derived from the orthogonal groups, Proceedings of the California Academy of Sciences vol. 1 (1899) pp. 47-57.
[20] Leonard Eugene Dickson, The structure of certain linear groups with quadratic invariants, Proc. London Math. Soc. vol. 30 (1899) pp. 70-98. · JFM 30.0137.02
[21] Leonard Eugene Dickson, A class of linear groups including the Abelian one, Quarterly Journal of Pure and Applied Mathematics vol. 31 (1899) pp. 60-66.
[22] Leonard Eugene Dickson, The group of linear homogeneous substitutions on \(mq\) variables which is defined by the invariant \(\Phi=\sum{\l}imits_{i=1}^{i=m}\xi_{i1}\xi_{i2}\dots\xi_iq\), Proc. London Math. Soc. vol. 30 (1899) pp. 200-208. · JFM 30.0141.01
[23] Leonard Eugene Dickson, Determination of the Structure of All Linear Homogeneous Groups in a Galois Field Which are Defined by a Quadratic Invariant, Amer. J. Math. 21 (1899), no. 3, 193 – 256. · JFM 30.0137.03 · doi:10.2307/2369602
[24] Leonard Eugene Dickson, Sur plusieurs groupes linéaires isomorphes au groups simple d’ordre 25920, C. R. Acad. Sci. Paris vol. 128 (1899) pp. 873-875. · JFM 30.0141.02
[25] Leonard Eugene Dickson, The largest linear homogeneous group with an invariant Pfaffian, Bull. Amer. Math. Soc. vol. 5 (1899) pp. 338-342. · JFM 30.0142.02
[26] Leonard Eugene Dickson, The known finite simple groups, Bull. Amer. Math. Soc. vol. 5 (1899) pp. 470-475.
[27] Leonard Eugene Dickson, Sur une généralisation du théoréme de Fermat, C. R. Acad. Sci. Paris vol. 128 (1899) pp. 1083-1085. · JFM 30.0185.02
[28] Leonard Eugene Dickson, A generalization of Fermat’s theorem, Ann. of Math. vol. 1 (1899) pp. 31-36. · JFM 30.0185.01
[29] Leonard Eugene Dickson, Report on the recent progress in the theory of linear groups, Bull. Amer. Math. Soc. vol. 6 (1899) pp. 13-27. · JFM 30.0042.01
[30] Leonard Eugene Dickson, Concerning the four known simple linear groups of order 25920, with an introduction to the hyper-abelian linear groups, Proc. London Math. Soc. vol. 31 (1899) pp. 30-68. · JFM 30.0138.01
[31] Leonard Eugene Dickson, The abstract group isomorphic with the symmetric group of k letters, Proc. London Math. Soc. vol. 31 (1899) pp. 351-353. · JFM 30.0141.03
[32] Leonard Eugene Dickson, The structure of the linear homogeneous groups defined by the invariant \({\l}ambda^ 1\zeta_ 1^ r+{\l}ambda^ 2\zeta_ 2^ r+\cdots+{\l}ambda^ m\zeta_ m^ r\), Math. Ann. vol. 52 (1899) pp. 561-581.
[33] Leonard Eugene Dickson, Definition of the abelian, the two hypoabelian, and related linear groups as quotient-groups of the groups of isomorphisms of certain elementary groups, Trans. Amer. Math. Soc. 1 (1900), no. 1, 30 – 38. · JFM 31.0138.03
[34] L. E. Dickson, Certain Subgroups of the Betti-Mathieu Group, Amer. J. Math. 22 (1900), no. 1, 49 – 54. · JFM 31.0142.03 · doi:10.2307/2369769
[35] Leonard Eugene Dickson, A new definition of the general abelian linear group, Trans. Amer. Math. Soc. 1 (1900), no. 1, 91 – 96. · JFM 31.0138.04
[36] Leonard Eugene Dickson, Canonical Form of a Linear Homogeneous Substitution in a Galois Field, Amer. J. Math. 22 (1900), no. 2, 121 – 137. · JFM 31.0140.02 · doi:10.2307/2369750
[37] Leonard Eugene Dickson, Proof of the existence of the Galois field of order p, Bull. Amer. Math. Soc. vol. 6 (1900) pp. 203-204.
[38] Leonard Eugene Dickson, Concerning the Cyclic Subgroups of the Simple Group G of All Linear Fractional Substitutions of Determinant Unity in Two Non-Homogeneous Variables with Coefficients in an Arbitrary Galois Field, Amer. J. Math. 22 (1900), no. 3, 231 – 252. · JFM 31.0141.01 · doi:10.2307/2369854
[39] Leonard Eugene Dickson, Isomorphism between certain systems of simple linear groups, Bull. Amer. Math Soc. vol. 6 (1900) pp. 323-328.
[40] Leonard Eugene Dickson, An abstract simple group of order 25920, Proc. London Math. Soc. vol. 32 (1900) pp. 3-10 · JFM 31.0143.02
[41] Leonard Eugene Dickson, Determination of an abstract simple group of order 2\(^{7}\)\cdot 3\(^{6}\)\cdot 5\cdot 7 holoedrically isomorphic with a certain orthogonal group and with a certain hyperabelian group, Trans. Amer. Math. Soc. 1 (1900), no. 3, 353 – 370. · JFM 31.0140.01
[42] Leonard Eugene Dickson, Proof of the non-isomorphism of the simple Abelian group on 2m indices and the orthogonal group on 2m+1 indices for m>2, Quarterly Journal of Pure and Applied Mathematics vol. 32 (1900) pp. 42-63. · JFM 31.0142.01
[43] Leonard Eugene Dickson, Linear substitutions commutative with a given substitution, Proc. London Math. Soc. vol. 32 (1900) pp. 165-170. · JFM 31.0140.03
[44] Leonard Eugene Dickson, Linear groups: With an exposition of the Galois field theory, with an introduction by W. Magnus, Dover Publications, Inc., New York, 1958. · Zbl 0082.24901
[45] L. E. Dickson, Distribution of the Ternary Linear Homogeneous Substitutions in a Galois Field into Complete Sets of Conjugate Substitutions, Amer. J. Math. 23 (1901), no. 1, 37 – 40. · JFM 32.0134.01 · doi:10.2307/2369695
[46] Leonard Eugene Dickson, Canonical forms of quaternary abelian substitutions in an arbitrary Galois field, Trans. Amer. Math. Soc. 2 (1901), no. 2, 103 – 138. · JFM 32.0130.02
[47] Leonard Eugene Dickson, Concerning real and complex continuous groups, Bull. Amer. Math. Soc. vol. 7 (1901) pp. 340-350. · JFM 32.0135.01
[48] Leonard Eugene Dickson, The configurations of the 27 lines on a cubic surface and the 28 bitangents to a quartic curve, Bull. Amer. Math. Soc. vol. 8 (1901) pp. 63-70. · JFM 32.0492.01
[49] Leonard Eugene Dickson, Concerning the Abelian and related linear groups, Proc. London Math. Soc. vol. 33 (1901) pp. 313-325. · JFM 32.0131.01
[50] Leonard Eugene Dickson, The alternating group on eight letters and the quaternary linear congruence group modulo two, Math. Ann. 54 (1901), no. 4, 564 – 569. · JFM 32.0130.01 · doi:10.1007/BF01450721
[51] Leonard Eugene Dickson, Théorie des groupes linéaires dans un domaine arbitraire de rationalité, C. R. Acad. Sci. Paris, vol. 132 (1901) pp. 1547-1548. · JFM 32.0131.02
[52] Leonard Eugene Dickson, Theory of linear groups in an arbitrary field, Trans. Amer. Math. Soc. 2 (1901), no. 4, 363 – 394. · JFM 32.0131.03
[53] Leonard Eugene Dickson, Representation of Linear Groups as Transitive Substitution Groups, Amer. J. Math. 23 (1901), no. 4, 337 – 377. · JFM 32.0134.03 · doi:10.2307/2370134
[54] Leonard Eugene Dickson, A class of groups in an arbitrary realm connected with the configuration of the 27 lines on a cubic surface, Quarterly Journal of Pure and Applied Mathematics vol. 33(1901) pp. 145-173. · JFM 32.0133.01
[55] L. E. Dickson, On Systems of Isothermal Curves, Amer. Math. Monthly 8 (1901), no. 10, 187 – 192. · JFM 32.0564.02 · doi:10.2307/2971319
[56] Leonard Eugene Dickson, The known systems of simple groups and their inter-isomorphisms, Compte Rendu du Deuxième Congrès International des Mathématiciens, Paris, 1900, Paris, Gauthier-Villars, 1902, pp. 225-229.
[57] L. E. Dickson, Cyclic Subgroups of the Simple Ternary Linear Fractional Group in a Galois Field, Amer. J. Math. 24 (1902), no. 1, 1 – 12. · JFM 33.0150.02 · doi:10.2307/2370004
[58] Leonard Eugene Dickson, The groups of Steiner in problems of contact, Trans. Amer. Math. Soc. 3 (1902), no. 1, 38 – 45. · JFM 33.0153.02
[59] Leonard Eugene Dickson, The groups of Steiner in problems of contact. II, Trans. Amer. Math. Soc. 3 (1902), no. 3, 377 – 382. · JFM 33.0153.03
[60] Leonard Eugene Dickson, Canonical Form of a Linear Homogeneous Transformation in an Arbitrary Realm of Rationality, Amer. J. Math. 24 (1902), no. 2, 101 – 108. · JFM 33.0151.01 · doi:10.2307/2369965
[61] Leonard Eugene Dickson, Linear groups in an infinite field, Proc. London Math. Soc. vol. 34 (1902) pp. 185-205. · JFM 33.0152.01
[62] Leonard Eugene Dickson, Theorems on the residues of multinomial coefficients with respect to a prime modulus, Quarterly Journal of Pure and Applied Mathematics vol. 33 (1902) pp. 378-384. · JFM 33.0203.02
[63] Leonard Eugene Dickson, A class of simply transitive linear groups, Bull. Amer. Math. Soc. vol. 8 (1902) pp. 394-401. · JFM 33.0153.01
[64] Leonard Eugene Dickson, The hyperorthogonal groups, Math. Ann. 55 (1902), no. 4, 521 – 572. · JFM 33.0151.02 · doi:10.1007/BF01450352
[65] Leonard Eugene Dickson, An elementary exposition of Frobenius’s theory of group-characters and group-determinants, Ann. of Math. (2) 4 (1902), no. 1, 25 – 49. · JFM 33.0149.03 · doi:10.2307/1967149
[66] Leonard Eugene Dickson, On the group defined for any given field by the multiplication table of any given finite group, Trans. Amer. Math. Soc. 3 (1902), no. 3, 285 – 301. · JFM 33.0150.01
[67] L. E. Dickson, A Matrix Defined by the Quaternion Group, Amer. Math. Monthly 9 (1902), no. 11, 243 – 248. · JFM 34.0185.02 · doi:10.2307/2971280
[68] Leonard Eugene Dickson, COLLEGE ALGEBRA, New York, Wiley, 1902, 7+214 pp.
[69] Leonard Eugene Dickson, Ternary orthogonal group in a general field, University of Chicago Press, 1903, 8 pp.
[70] Leonard Eugene Dickson, Groups defined for a general field by the rotation groups, University of Chicago Press, 1903, 17 pp.
[71] Leonard Eugene Dickson, INTRODUCTION TO THE THEORY OF ALGEBRAIC EQUATIONS, New York, Wiley, 1903, 5+104 pp.
[72] Leonard Eugene Dickson, Definitions of a field by independent postulates, Trans. Amer. Math. Soc. 4 (1903), no. 1, 13 – 20. · JFM 34.0160.02
[73] Leonard Eugene Dickson, Definitions of a linear associative algebra by independent postulates, Trans. Amer. Math. Soc. 4 (1903), no. 1, 21 – 26. · JFM 34.0090.02
[74] Leonard Eugene Dickson, On the groups defined for an arbitrary field by the multiplication tables of certain finite groups, Proc. London Math. Soc. vol. 35 (1903) pp. 68-80. · JFM 34.0164.01
[75] Leonard Eugene Dickson, Three sets of generational relations defining the abstract simple group of order504, Bull. Amer. Math. Soc. vol. 9 (1903) pp. 194-204. · JFM 34.0166.01
[76] Leonard Eugene Dickson, Generational relations defining the abstract simple group of order 660, Bull. Amer. Math. Soc. vol. 9 (1903) pp. 204-206. · JFM 34.0166.02
[77] Leonard Eugene Dickson, The abstract group G simply isomorphic with the alternating group on six letters, Bull. Amer. Math. Soc. vol. 9 (1903) pp. 303-306. · JFM 34.0167.01
[78] Leonard Eugene Dickson, Fields whose elements are linear differential expressions, Bull. Amer. Math. Soc. vol. 10 (1903) pp. 30-31. · JFM 34.0172.01
[79] Leonard Eugene Dickson, On the subgroups of order a power of \? in the quaternary abelian group in the Galois field of order \?\(^{n}\), Trans. Amer. Math. Soc. 4 (1903), no. 4, 371 – 386. · JFM 34.0167.03
[80] Leonard Eugene Dickson, On the reducibility of linear groups, Trans. Amer. Math. Soc. 4 (1903), no. 4, 434 – 436. · JFM 34.0168.01
[81] Leonard Eugene Dickson, The abstract group simply isomorphic with the group of linear fractional transformations in a Galois field, Proc. London Math. Soc. vol. 35 (1903) pp. 292-305. · JFM 34.0165.01
[82] Leonard Eugene Dickson, Generational relations of an abstract simple group of order 4080, Proc. London Math. Soc. vol. 35 (1903) pp. 306-319. · JFM 34.0165.02
[83] Leonard Eugene Dickson, Generational relations for the abstract group simply isomorphic with the linear fractional group in the GF[2], Proc. London Math. Soc. vol. 35 (1903) pp. 443-454. · JFM 34.0167.02
[84] Leonard Eugene Dickson, 1. Ternary orthogonal groups in a general field. 2. The groups defined for a general field by the rotation group, University of Chicago Press, 1904, 26 pp.
[85] Leonard Eugene Dickson, The subgroups of order a power of 2 of the simple quinary orthogonal group in the Galois field of order \?\(^{n}\)=8\?\pm 3, Trans. Amer. Math. Soc. 5 (1904), no. 1, 1 – 38. · JFM 35.0167.01
[86] Leonard Eugene Dickson, Determination of all groups of binary linear substitutions with integral coefficients taken modulo 3 and of determinant unity, Ann. of Math. (2) 5 (1904), no. 3, 140 – 144. · JFM 35.0169.01 · doi:10.2307/2007231
[87] Leonard Eugene Dickson, Determination of all the subgroups of the known simple group of order 25920, Trans. Amer. Math. Soc. 5 (1904), no. 2, 126 – 166. · JFM 35.0167.02
[88] Leonard Eugene Dickson, Two systems of subgroups of the quaternary Abelian group in a general Galois field, Bull. Amer. Math. Soc. vol. 10 (1904) pp. 178-184. · JFM 35.0169.02
[89] Leonard Eugene Dickson, A new extension of Dirichlet’s theorem on prime numbers, Messenger of Mathematics, vol. 33 (1904) pp. 155-161.
[90] Leonard Eugene Dickson, Addition to the paper on the four known simple linear groups of order 25920, Proc. London Math. Soc. vol. 1 (1904) pp. 283-284. · JFM 35.0168.01
[91] Leonard Eugene Dickson, On the subgroups of order a power of p in the linear homogeneous and fractional groups in the GF[p], Bull. Amer. Math. Soc. vol. 10 (1904) pp. 385-397. · JFM 35.0170.01
[92] Leonard Eugene Dickson, Memoir on Abelian Transformations, Amer. J. Math. 26 (1904), no. 3, 243 – 318. · JFM 35.0166.01 · doi:10.2307/2369926
[93] L. E. Dickson, Application of groups to a complex problem in arrangements, Ann. of Math. (2) 6 (1904), no. 1, 31 – 44. · JFM 35.0168.02 · doi:10.2307/2007156
[94] Leonard Eugene Dickson, On the minimum degree of resolvants for the p-section of the periods of hyperelliptic functions of four periods, Jber. Deutschen Math. Verein. vol. 13 (1904) pp. 559-560. · JFM 35.0166.02
[95] L. E. Dickson, A Property of the Group \?\(_{2}\)²\(^{n}\) All of Whose Operators Except Identity are of Period 2, Amer. Math. Monthly 11 (1904), no. 11, 203 – 206. · JFM 35.0181.03 · doi:10.2307/2969885
[96] Leonard Eugene Dickson, The groups of a tactical configuration, Bull. Amer. Math. Soc. vol. 11 (1905) pp. 177-179. · JFM 36.0210.01
[97] Leonard Eugene Dickson, The minimum degree \? of resolvents for the \?-section of the periods of hyperelliptic functions of four periods, Trans. Amer. Math. Soc. 6 (1905), no. 1, 48 – 57. · JFM 36.0508.06
[98] Leonard Eugene Dickson, On the cyclotomic functions, Amer. Math. Monthly vol. 12 (1905) pp. 86-89. · JFM 36.0135.04
[99] L. E. Dickson, On the real elements of certain classes of geometrical configurations, Ann. of Math. (2) 6 (1905), no. 4, 141 – 150. · JFM 36.0209.01 · doi:10.2307/2007244
[100] Leonard Eugene Dickson, A new system of simple groups, Math. Ann. 60 (1905), no. 1, 137 – 150. · JFM 36.0206.01 · doi:10.1007/BF01447497
[101] Leonard Eugene Dickson, Determination of the Ternary Modular Groups, Amer. J. Math. 27 (1905), no. 2, 189 – 202. · JFM 36.0208.01 · doi:10.2307/2369979
[102] Leonard Eugene Dickson, Definitions of a group and a field by independent postulates, Trans. Amer. Math. Soc. 6 (1905), no. 2, 198 – 204. · JFM 36.0207.01
[103] Leonard Eugene Dickson, On semi-groups and the general isomorphism between infinite groups, Trans. Amer. Math. Soc. 6 (1905), no. 2, 205 – 208. · JFM 36.0207.02
[104] Leonard Eugene Dickson, Determination of all the subgroups of the three highest powers of p in the group G of all m-ary linear homogeneous transformations modulo p, Quarterly Journal of Pure and Applied Mathematics vol. 36 (1905) pp. 373-384. · JFM 36.0208.03
[105] Leonard Eugene Dickson, On finite algebras, Nachr. Ges. Wiss. Göttingen (1905) pp. 358-393. · JFM 36.0138.03
[106] Leonard Eugene Dickson, On the class of the substitutions of various linear groups, Bull. Amer. Math. Soc. vol. 11 (1905) pp. 426-432. · JFM 36.0210.02
[107] Leonard Eugene Dickson, Subgroups of Order a Power of \? in the General and Special \?-ary Linear Homogeneous Groups in the \?\?[\?\(^{n}\)], Amer. J. Math. 27 (1905), no. 3, 280 – 302. · JFM 36.0208.02 · doi:10.2307/2370149
[108] Leonard Eugene Dickson, A general theorem on algebraic numbers, Bull. Amer. Math. Soc. vol. 11 (1905) pp. 482-486. · JFM 36.0139.03
[109] Leonard Eugene Dickson, On hypercomplex number systems, Trans. Amer. Math. Soc. vol. 6 (1905) pp. 344-348. · JFM 36.0139.02
[110] Leonard Eugene Dickson, Expressions for the elements of a determinant of an array, Amer. Math. Monthly vol. 12 (1905) pp. 217-221. · JFM 36.0235.01
[111] Leonard Eugene Dickson, On the Quaternary Linear Homogeneous Groups Modulo \? of Order a Multiple of \?, Amer. J. Math. 28 (1906), no. 1, 1 – 16. · JFM 37.0173.01 · doi:10.2307/2370053
[112] Leonard Eugene Dickson, On quadratic, Hermitian and bilinear forms, Trans. Amer. Math. Soc. 7 (1906), no. 2, 275 – 292. · JFM 37.0137.01
[113] Leonard Eugene Dickson, Criteria for the irreducibility of functions in a finite field, Bull. Amer. Math. Soc. vol. 13 (1906) pp. 1-8. · JFM 37.0094.01
[114] Leonard Eugene Dickson, On the theory of equations in a Galois field, Bull. Amer. Math. Soc. vol. 13 (1906) pp. 8-10. · JFM 37.0173.02
[115] Leonard Eugene Dickson, Linear algebras in which division is always uniquely possible, Trans. Amer. Math. Soc. 7 (1906), no. 3, 370 – 390. · JFM 37.0111.06
[116] Leonard Eugene Dickson, On linear algebras, Amer. Math. Monthly vol. 13 (1906) pp. 201-205. · JFM 37.0115.03
[117] L. E. Dickson, On commutative linear algebras in which division is always uniquely possible, Trans. Amer. Math. Soc. 7 (1906), no. 4, 514 – 522. · JFM 37.0112.01
[118] Leonard Eugene Dickson, The abstract form of the special linear homogeneous group in an arbitrary field, Quarterly Journal of Pure and Applied Mathematics vol. 38 (1907) pp. 141-145.
[119] Leonard Eugene Dickson, The abstract form of the Abelian linear groups, Quarterly Journal of Pure and Applied Mathematics vol. 38 (1907) pp. 145-158.
[120] Leonard Eugene Dickson, The symmetric group on eight letters and the senary first hypoabelian group, Bull. Amer. Math. Soc. vol. 13 (1907) pp. 386-389. · JFM 38.0182.01
[121] Leonard Eugene Dickson, Modular theory of group characters, Bull. Amer. Math. Soc. vol. 13 (1907) pp. 477-488. · JFM 38.0180.01
[122] Leonard Eugene Dickson, Invariants of binary forms under modular transformations, Trans. Amer. Math. Soc. 8 (1907), no. 2, 205 – 232. · JFM 38.0147.02
[123] Leonard Eugene Dickson, Invariants of the general quadratic form modulo 2, Proc. London Math. Soc. vol. 5 (1907) pp. 301-324. · JFM 38.0150.01
[124] Leonard Eugene Dickson, Modular theory of group-matrices, Trans. Amer. Math. Soc. 8 (1907), no. 3, 389 – 398. · JFM 38.0180.02
[125] Leonard Eugene Dickson, On quadratic forms in a general field, Bull. Amer. Math. Soc. vol. 14 (1907) pp. 108-115. · JFM 38.0182.02
[126] Leonard Eugene Dickson, On triple algebras and ternary cubic forms, Bull. Amer. Math. Soc. vol. 14 (1908) pp. 160-169. · JFM 39.0138.03
[127] Leonard Eugene Dickson, The Galois group of a reciprocal quartic equation, Amer. Math. Monthly vol. 15 (1908) pp. 71-78. · JFM 39.0130.01
[128] Leonard Eugene Dickson, A class of groups in an arbitrary realm connected with the configuration of the 27 lines on a cubic surface. Second paper, Quarterly Journal of Pure and Applied Mathematics vol. 39 (1908) pp. 205-209.
[129] L. E. Dickson, On the Canonical Forms and Automorphs of Ternary Cubic Forms, Amer. J. Math. 30 (1908), no. 2, 117 – 128. · JFM 39.0149.01 · doi:10.2307/2370157
[130] Leonard Eugene Dickson, Representations of the general symmetric group as linear groups in finite and infinite fields, Trans. Amer. Math. Soc. 9 (1908), no. 2, 121 – 148. · JFM 39.0198.02
[131] Leonard Eugene Dickson, On families of quadratic forms in a general field, Quarterly Journal of Pure and Applied Mathematics vol. 39 (1908) pp. 316-333.
[132] Leonard Eugene Dickson, On higher congruences and modular invariants, Bull. Amer. Math. Soc. vol. 14 (1908) pp. 313-318. · JFM 39.0256.04
[133] L. E. Dickson, On the Factorization of Large Numbers, Amer. Math. Monthly 15 (1908), no. 12, 217 – 222. · JFM 39.0272.04 · doi:10.2307/2969817
[134] Leonard Eugene Dickson, Criteria for the irreducibility of a reciprocal equation, Bull. Amer. Math. Soc. vol. 14 (1908) pp. 426-430. · JFM 39.0121.01
[135] Leonard Eugene Dickson, Invariantive Reduction of Quadratic Forms in the \?\?[2\(^{n}\)], Amer. J. Math. 30 (1908), no. 3, 263 – 281. · JFM 39.0146.01 · doi:10.2307/2369949
[136] Leonard Eugene Dickson, On the last theorem of Fermat, Messenger of Mathematics vol. 38 (1908) pp. 14-32.
[137] Leonard Eugene Dickson, On the last theorem of Fermat, II, Quarterly Journal of Pure and Applied Mathematics vol. 40 (1908) pp. 27-45. · JFM 39.0260.03
[138] Leonard Eugene Dickson, On the congruence x+y+z\equiv 0 (mod p), J. Reine Angew. Math. vol. 135 (1908) pp. 134-141. · JFM 39.0260.02
[139] Leonard Eugene Dickson, Definite forms in a finite field, Trans. Amer. Math. Soc. 10 (1909), no. 1, 109 – 122. · JFM 40.0268.03
[140] Leonard Eugene Dickson, Rational Reduction of a Pair of Binary Quadratic Forms; Their Modular Invariants, Amer. J. Math. 31 (1909), no. 2, 103 – 146. · JFM 40.0161.01 · doi:10.2307/2370100
[141] Leonard Eugene Dickson, General theory of modular invariants, Trans. Amer. Math. Soc. 10 (1909), no. 2, 123 – 158. · JFM 40.0158.01
[142] Leonard Eugene Dickson, On the representation of numbers by modular forms, Bull. Amer. Math. Soc. vol. 15 (1909) pp. 338-347. · JFM 40.0269.01
[143] Leonard Eugene Dickson, (with M. Kaba), On the representation of numbers as the sum of two squares, Amer. Math. Monthly vol. 16 (1909) pp. 85-87. · JFM 40.0267.07
[144] Leonard Eugene Dickson, Lower limit for the number of sets of solutions of x+y+z\equiv 0 (mod. p), J. Reine Angew. Math. vol. 135 (1909) pp. 181-188. · JFM 40.0254.04
[145] Leonard Eugene Dickson, On commutative linear groups, Quarterly Journal of Pure and Applied Mathematics vol. 40 (1909) pp. 167-196.
[146] Leonard Eugene Dickson, A Theory of Invariants, Amer. J. Math. 31 (1909), no. 4, 337 – 354. · JFM 40.0157.01 · doi:10.2307/2369881
[147] Leonard Eugene Dickson, Equivalence of pairs of bilinear or quadratic forms under rational transformation, Trans. Amer. Math. Soc. 10 (1909), no. 3, 347 – 360. · JFM 40.0163.01
[148] Leonard Eugene Dickson, Combinants, Quarterly Journal of Pure and Applied Mathematics vol. 40 (1909) pp. 349-365. · JFM 40.0164.01
[149] Leonard Eugene Dickson, On certain diophantine equations, Messenger of Mathematics vol. 39 (1909) pp. 86-87.
[150] Leonard Eugene Dickson, Modular invariants of a general system of linear forms, Proc. London Math. Soc. vol. 7 (1909) pp. 430-444. · JFM 40.0160.01
[151] Leonard Eugene Dickson, On the factorization of integral functions with p-adic coefficients, Bull. Amer. Math. Soc. vol. 17 (1910) pp. 19-23. · JFM 41.0229.02
[152] Leonard Eugene Dickson, An invariantive investigation of irreducible binary modular forms, Trans. Amer. Math. Soc. 12 (1911), no. 1, 1 – 18. · JFM 42.0134.02
[153] Leonard Eugene Dickson, A fundamental system of invariants of the general modular linear group with a solution of the form problem, Trans. Amer. Math. Soc. 12 (1911), no. 1, 75 – 98. · JFM 42.0136.01
[154] Leonard Eugene Dickson, Note on modular invariants, Quarterly Journal of Pure and Applied Mathematics vol. 42 (1911) pp. 158-161. · JFM 42.0137.01
[155] Leonard Eugene Dickson, On non-vanishing forms, Quarterly Journal of Pure and Applied Mathematics vol. 42 (1911) pp. 162-171. · JFM 42.0138.01
[156] Leonard Eugene Dickson, Binary Modular Groups and their Invariants, Amer. J. Math. 33 (1911), no. 1-4, 175 – 192. · JFM 42.0157.03 · doi:10.2307/2369991
[157] Leonard Eugene Dickson, Notes on the theory of numbers, Amer. Math. Monthly vol. 18 (1911) pp. 109-110. · JFM 42.0236.12
[158] Leonard Eugene Dickson, On the negative discriminants for which there is a single class of positive binary quadratic forms, Bull. Amer. Math. Soc. vol. 17 (1911) pp. 534-547. · JFM 42.0239.06
[159] L. E. Dickson, Note on cubic equations and congruences, Ann. of Math. (2) 12 (1911), no. 3, 149 – 152. · JFM 42.0214.02 · doi:10.2307/2007243
[160] Leonard Eugene Dickson, Linear algebras, Trans. Amer. Math. Soc. 13 (1912), no. 1, 59 – 73. · JFM 43.0162.09
[161] L. E. Dickson, Amicable Number Triples, Amer. Math. Monthly 20 (1913), no. 3, 84 – 92. · JFM 44.0247.13 · doi:10.2307/2973442
[162] L. E. Dickson, On the rank of a symmetrical matrix, Ann. of Math. (2) 15 (1913/14), no. 1-4, 27 – 28. · JFM 44.0177.03 · doi:10.2307/1967795
[163] Leonard Eugene Dickson, Theorems and tables on the sum of the divisors of a number, Quarterly Journal of Pure and Applied Mathematics vol. 44 (1913) pp. 264-296. · JFM 44.0221.02
[164] Leonard Eugene Dickson, Proof of the finiteness of modular covariants, Trans. Amer. Math. Soc. 14 (1913), no. 3, 299 – 310. · JFM 44.0138.02
[165] Leonard Eugene Dickson, On binary modular groups and their invariants, Bull. Amer. Math. Soc. vol. 20 (1913) pp. 132-134. · JFM 44.0169.05
[166] Leonard Eugene Dickson, Finiteness of the Odd Perfect and Primitive Abundant Numbers with \? Distinct Prime Factors, Amer. J. Math. 35 (1913), no. 4, 413 – 422. · JFM 44.0220.02 · doi:10.2307/2370405
[167] L. E. Dickson, Even Abundant Numbers, Amer. J. Math. 35 (1913), no. 4, 423 – 426. · JFM 44.0221.01 · doi:10.2307/2370406
[168] Leonard Eugene Dickson, The invariants, seminvariants and linear covariants of the binary quartic form modulo 2, Ann. of Math. vol. 15 (1914) pp. 114-117. · JFM 45.0210.01
[169] Leonard Eugene Dickson, Linear associative algebras and Abelian equations, Trans. Amer. Math. Soc. vol. 15 (1914) pp. 31-46. · JFM 45.0189.03
[170] Leonard Eugene Dickson, On invariants and the theory of numbers, Dover Publications, Inc., New York, 1966. · Zbl 0084.26901
[171] Leonard Eugene Dickson, ELEMENTARY THEORY OF EQUATIONS, New York, Wiley, 1914, 5+184 pp.
[172] Leonard Eugene Dickson, ALGEBRAIC INVARIANTS, New York, Wiley, 1914, 10+100 pp. [Mathematical monographs, edited by M. Merriman and R. S. Woodward, No. 14.]
[173] Leonard Eugene Dickson, LINEAR ALGEBRAS, Cambridge University Press, 1914, 8+73 pp. [Cambridge Tracts in Math, and Math. Physics, No. 16.]
[174] L. E. Dickson, The points of inflexion of a plane cubic curve, Ann. of Math. (2) 16 (1914/15), no. 1-4, 50 – 66. · JFM 45.0838.02 · doi:10.2307/1968042
[175] Leonard Eugene Dickson, Invariants in the theory of numbers, Trans. Amer. Math. Soc. vol. 15 (1914) pp. 497-503. · JFM 45.0207.01
[176] L. E. Dickson, On the Trisection of an Angle and the Construction of Regular Polygons of 7 and 9 Sides, Amer. Math. Monthly 21 (1914), no. 8, 259 – 262. · JFM 45.0753.01 · doi:10.2307/2974246
[177] Leonard Eugene Dickson, Modular invariants of the system of a binary cubic, quadratic and linear form, Quarterly Journal of Pure and Applied Mathematics vol. 45 (1914) pp. 373-384. · JFM 45.1236.02
[178] Leonard Eugene Dickson, Recent progress in the theories of modular and formal invariants and in modular geometry, Proc. Nat. Acad. Sci. U.S.A. vol. 1 (1915) pp. 1-4.
[179] L. E. Dickson, Projective classification of cubic surfaces modulo 2, Ann. of Math. (2) 16 (1914/15), no. 1-4, 139 – 157. · JFM 45.0212.01 · doi:10.2307/1968056
[180] Leonard Eugene Dickson, Invariants, seminvariants, and covariants of the ternary and quaternary quadratic form modulo 2, Bull. Amer. Math. Soc. vol. 21 (1915) pp. 174-179. · JFM 45.0208.01
[181] L. E. Dickson, Invariantive Theory of Plane Cubic Curves Modulo 2, Amer. J. Math. 37 (1915), no. 2, 107 – 116. · JFM 45.0210.03 · doi:10.2307/2370419
[182] L. E. Dickson, Quartic curves modulo 2, Trans. Amer. Math. Soc. 16 (1915), no. 2, 111 – 120. · JFM 45.0211.02
[183] Leonard Eugene Dickson, Classification of quartic curves, modulo 2, Messenger of Mathematics vol. 44 (1915) pp. 189-192.
[184] Leonard Eugene Dickson, The straight lines on modular cubic surfaces, Proc. Nat. Acad. Sci. U.S.A. vol. 1 (1915) pp. 248-253.
[185] L. E. Dickson, Geometrical and Invariantive Theory of Quartic Curves Modulo 2, Amer. J. Math. 37 (1915), no. 4, 337 – 354. · JFM 45.0211.01 · doi:10.2307/2370210
[186] L. E. Dickson, Invariantive Classification of Pairs of Conics Modulo 2, Amer. J. Math. 37 (1915), no. 4, 355 – 358. · JFM 45.0210.02 · doi:10.2307/2370211
[187] Leonard Eugene Dickson, On the relation between linear algebras and continuous groups, Bull. Amer. Math. Soc. vol. 22 (1915) pp. 53-61. · JFM 45.0189.02
[188] Leonard Eugene Dickson, (with G. A. Miller and H. F. Blichfeldt), THEORY AND APPLICATIONS OF FINITE GROUPS, New York, Wiley, 1916, 17+390 pp.
[189] Leonard Eugene Dickson, An extension of the theory of numbers by means of correspondences between fields, Bull. Amer. Math. Soc. vol. 23 (1916) pp. 109-111. · JFM 46.0171.01
[190] Leonard Eugene Dickson, Fermat’s last theorem and the origin and nature of the theory of algebraic numbers, Ann. of Math. (2) vol. 18 (1917) pp. 161-187. · JFM 46.0268.02
[191] L. E. Dickson, On quaternions and their generalization and the history of the eight square theorem, Ann. of Math. (2) 20 (1919), no. 3, 155 – 171. · JFM 47.0099.01 · doi:10.2307/1967865
[192] Leonard Eugene Dickson, Mathematics in war perspective, Bull. Amer. Math. Soc. vol. 25 (1919) pp. 289-311. · JFM 47.0046.06
[193] Leonard Eugene Dickson, Applications of the geometry of numbers to algebraic numbers, Bull. Amer. Math. Soc. vol. 25 (1919) pp. 453-455. · JFM 47.0894.01
[194] Leonard Eugene Dickson, History of the theory of numbers. Vol. I: Divisibility and primality., Chelsea Publishing Co., New York, 1966. Leonard Eugene Dickson, History of the theory of numbers. Vol. II: Diophantine analysis, Chelsea Publishing Co., New York, 1966. Leonard Eugene Dickson, History of the theory of numbers. Vol. III: Quadratic and higher forms., With a chapter on the class number by G. H. Cresse, Chelsea Publishing Co., New York, 1966.
[195] Leonard Eugene Dickson, History of the theory of numbers. Vol. I: Divisibility and primality., Chelsea Publishing Co., New York, 1966. Leonard Eugene Dickson, History of the theory of numbers. Vol. II: Diophantine analysis, Chelsea Publishing Co., New York, 1966. Leonard Eugene Dickson, History of the theory of numbers. Vol. III: Quadratic and higher forms., With a chapter on the class number by G. H. Cresse, Chelsea Publishing Co., New York, 1966.
[196] Leonard Eugene Dickson, Les polynomes égaux à des determinants, C. R. Acad. Sci. Paris vol. 171 (1920) pp. 1360-1362. · JFM 47.0080.04
[197] Leonard Eugene Dickson, Some relations between the theory of numbers and other branches of mathematics, Conférence générale, Comptes Rendus du Congrés International des Mathématiciens, Strasbourg, 1920, Toulouse, H. Villat, 1921, pp. 41-56.
[198] Leonard Eugene Dickson, Homogeneous polynomials with a multiplication theorem, Comptes Rendus du Congrés International des Mathématiciens, Strasbourg, 1920, Toulouse, H. Villat, 1921, pp. 215-230.
[199] L. E. Dickson, Algebraic Theory of the Expressibility of Cubic Forms as Determinants, with Application to Diophantine Analysis, Amer. J. Math. 43 (1921), no. 2, 102 – 125. · JFM 48.0100.01 · doi:10.2307/2370244
[200] Leonard Eugene Dickson, Quaternions and their generalizations, Proc. Nat. Acad. Sci. U.S.A. vol. 7 (1921) pp. 109-114.
[201] Leonard Eugene Dickson, Fallacies and misconceptions in diophantine analysis, Bull. Amer. Math. Soc. vol. 27 (1921) pp. 312-319. · JFM 48.0137.03
[202] Leonard Eugene Dickson, Determination of all general homogeneous polynomials expressible as determinants with linear elements, Trans. Amer. Math. Soc. 22 (1921), no. 2, 167 – 179.
[203] Leonard Eugene Dickson, A new method in diophantine analysis, Bull. Amer. Math. Soc. vol. 27 (1921) pp. 353-365. · JFM 48.0137.04
[204] Leonard Eugene Dickson, Arithmetic of quaternions, Proc. London Math. Soc. vol. 20 (1921) pp. 225-232.
[205] L. E. Dickson, Rational Triangles and Quadrilaterals, Amer. Math. Monthly 28 (1921), no. 6-7, 244 – 250. · JFM 48.0667.04 · doi:10.2307/2973328
[206] L. E. Dickson, Reducible cubic forms expressible rationally as determinants, Ann. of Math. (2) 23 (1921), no. 1, 70 – 74. · JFM 48.0099.04 · doi:10.2307/1967785
[207] L. E. Dickson, A fundamental system of covariants of the ternary cubic form, Ann. of Math. (2) 23 (1921), no. 1, 78 – 82. · JFM 48.0099.03 · doi:10.2307/1967787
[208] Leonard Eugene Dickson, La composition des polynomes, C. R. Acad. Sci. Paris vol. 172 (1921) pp. 636-640. · JFM 48.0078.03
[209] Leonard Eugene Dickson, PLANE TRIGONOMETRY WITH PRACTICAL APPLICATIONS, Chicago, Sanborn, 1922, 12+176+35 pp.
[210] Leonard Eugene Dickson, A FIRST COURSE IN THE THEORY OF EQUATIONS, New York, Wiley, 1922, 6+168 pp.
[211] Leonard Eugene Dickson, Impossibility of restoring unique factorization in a hypercomplex arithmetic, Bull. Amer. Math. Soc. vol. 28 (1922) pp. 438-442. · JFM 48.0125.03
[212] Leonard Eugene Dickson, The rational linear algebras of maximum and minimum ranks, Proc. London Math. Soc. (2) vol. 22 (1923) pp. 143-162. · JFM 49.0088.03
[213] Leonard Eugene Dickson, Algebras and their arithmetics, Dover Publications, Inc., New York, 1960. · Zbl 0086.25602
[214] Leonard Eugene Dickson, History of the theory of numbers. Vol. I: Divisibility and primality., Chelsea Publishing Co., New York, 1966. Leonard Eugene Dickson, History of the theory of numbers. Vol. II: Diophantine analysis, Chelsea Publishing Co., New York, 1966. Leonard Eugene Dickson, History of the theory of numbers. Vol. III: Quadratic and higher forms., With a chapter on the class number by G. H. Cresse, Chelsea Publishing Co., New York, 1966.
[215] Leonard Eugene Dickson, A new simple theory of hypercomplex integers, J. Math. Pures Appl. (9) vol. 2 (1923) pp. 281-326.
[216] Leonard Eugene Dickson, Integral solutions of x, Bull. Amer. Math. Soc. vol. 29 (1923) pp. 464-467. · JFM 49.0096.04
[217] Leonard Eugene Dickson, On the theory of numbers and generalized quaternions, Amer. J. Math. vol. 46 (1924) pp. 1-16. · JFM 50.0094.02
[218] Leonard Eugene Dickson, Algebras and their arithmetics, Bull. Amer. Math. Soc. vol. 30 (1924) pp. 247-257. · JFM 50.0631.02
[219] L. E. Dickson, Differential equations from the group standpoint, Ann. of Math. (2) 25 (1924), no. 4, 287 – 378. · JFM 50.0297.01 · doi:10.2307/1967773
[220] Leonard Eugene Dickson, Quadratic fields in which factorization is always unique, Bull. Amer. Math. Soc. vol. 30 (1924) pp. 328-334. · JFM 50.0113.03
[221] Leonard Eugene Dickson, Algébres nouvelles de division, C. R. Acad. Sci. Paris vol. 181 (1925) pp. 836-838. · JFM 51.0121.01
[222] Leonard Eugene Dickson, Resolvent sextics of quintic equations, Bull. Amer. Math. Soc. vol. 31 (1925) pp. 515-523. · JFM 51.0093.04
[223] Leonard Eugene Dickson, New division algebras, Trans. Amer. Math. Soc. vol. 28 (1926) pp. 207-234. · JFM 52.0133.03
[224] Leonard Eugene Dickson, MODERN ALGEBRAIC THEORIES, Chicago, New York, Boston; Sanborn, 1926, 9+276 pp.
[225] Leonard Eugene Dickson, All integral solutions of ax+bxy+cy=w1w2 ●●●wn, Bull. Amer. Math. Soc. vol. 32 (1926) pp. 644-648.
[226] Leonard Eugene Dickson, Quadratic forms which represent all integers, Proc. Nat. Acad. Sci. U.S.A. vol. 12 (1926) pp. 756-757. · JFM 52.0145.03
[227] L. E. Dickson, Quaternary Quadratic Forms Representing all Integers, Amer. J. Math. 49 (1927), no. 1, 39 – 56. · JFM 53.0133.05 · doi:10.2307/2370770
[228] Leonard Eugene Dickson, Integers represented by positive ternary quadratic forms, Bull. Amer. Math. Soc. vol. 33 (1927) pp. 63-70. · JFM 53.0133.04
[229] L. E. Dickson, Extensions of Waring’s Theorem on Nine Cubes, Amer. Math. Monthly 34 (1927), no. 4, 177 – 183. · JFM 53.0134.02 · doi:10.2307/2299861
[230] Leonard Eugene Dickson, A generalization of Waring’s theorem on nine cubes, Bull. Amer. Math. Soc. vol. 33 (1927) pp. 299-300. · JFM 53.0134.04
[231] Leonard Eugene Dickson, ALGEBREN UND IHRE ZAHLENTHEORIE, Zurich, Orell Füssli, 1927, 8+308 pp. (translation of completely revised and extended manuscript).
[232] Leonard Eugene Dickson, Extensions of Waring’s theorem on fourth powers, Bull. Amer. Math. Soc. vol. 33 (1927) pp. 319-327. · JFM 53.0134.03
[233] L. E. Dickson, Singular case of pairs of bilinear, quadratic, or Hermitian forms, Trans. Amer. Math. Soc. 29 (1927), no. 2, 239 – 253. · JFM 53.0101.03
[234] Leonard Eugene Dickson, Generalization of Waring’s theorem on fourth, sixth, and eighth powers, Amer. J. Math. vol. 49 (1927) pp. 241-250. · JFM 53.0134.01
[235] Leonard Eugene Dickson, Ternary quadratic forms and congruences, Ann. of Math. (2) vol. 28 (1927) pp. 333-341. · JFM 53.0133.03
[236] Leonard Eugene Dickson, All positive integers are sums of values of a quadratic function of x, Bull. Amer. Math. Soc. vol. 33 (1927) pp. 713-720. · JFM 53.0133.06
[237] Leonard Eugene Dickson, Outline of the theory to date of the arithmetics of algebras, Proceedings of the International Mathematical Congress held in Toronto, 1924, Toronto, The University of Toronto Press, 1928, vol. 1, pp. 95-102.
[238] Leonard Eugene Dickson, Further development of the theory of arithmetics of algebras, Proceedings of the International Mathematical Congress held in Toronto, 1924, Toronto, The University of Toronto Press, 1928, vol. 1, pp. 173-184.
[239] Leonard Eugene Dickson, A new theory of linear transformations and pairs of bilinear forms, Proceedings of the International Mathematical Congress, held in Toronto, 1924, Toronto, The University of Toronto Press, 1928, vol. 1, pp. 361-363.
[240] L. E. Dickson, Simpler proofs of Waring’s theorem on cubes, with various generalizations, Trans. Amer. Math. Soc. 30 (1928), no. 1, 1 – 18. · JFM 54.0177.04
[241] L. E. Dickson, Additive Number Theory for all Quadratic Functions, Amer. J. Math. 50 (1928), no. 1, 1 – 48. · JFM 54.0179.03 · doi:10.2307/2370847
[242] Leonard Eugene Dickson, Generalizations of the theorem of Fermat and Cauchy on polygonal numbers, Bull. Amer. Math. Soc. vol. 34 (1928) pp. 63-72. · JFM 54.0180.02
[243] Leonard Eugene Dickson, Extended polygonal numbers, Bull. Amer. Math. Soc. vol. 34 (1928) pp. 205-217. · JFM 54.0181.01
[244] Leonard Eugene Dickson, Quadratic functions or forms, sums of whose values give all positive integers, J. Math. Pures Appl. vol. 7 (1928) pp. 319-336. · JFM 54.0177.03
[245] Leonard Eugene Dickson, New division algebras, Bull. Amer. Math. Soc. vol. 34 (1928) pp. 555-560. · JFM 54.0161.03
[246] Leonard Eugene Dickson, Universal quadratic forms, Trans. Amer. Math. Soc. vol. 31 (1929) pp. 164-189. · JFM 55.0098.01
[247] Leonard Eugene Dickson, The forms ax2+by2+cz2 which represent all integers, Bull. Amer. Math. Soc. vol. 35 (1929) pp. 55-59.
[248] Leonard Eugene Dickson, INTRODUCTION TO THE THEORY OF NUMBERS, Chicago, The University of Chicago Press, 1929, 8+183 pp. · JFM 55.0092.19
[249] L. E. Dickson, Construction of division algebras, Trans. Amer. Math. Soc. 32 (1930), no. 2, 319 – 334. · JFM 56.0868.03
[250] Leonard Eugene Dickson, STUDIES IN THE THEORY OF NUMBERS, Chicago, The University of Chicago Press (The University of Chicago Science Series), 1930, 10+230 pp.
[251] Leonard Eugene Dickson, Proof of a Waring theorem on fifth powers, Bull. Amer. Math. Soc. vol. 37 (1931) pp. 549-553. · Zbl 0002.24701
[252] Leonard Eugene Dickson, MINIMUM DECOMPOSITIONS INTO FIFTH POWERS, Vol. III, Mathematical Tables, British Assoc. for the Advancement of Science (Committee for the Calculation of Mathematical Tables), London, Office of the British Assoc., 1933, 368 pp. · Zbl 0008.00404
[253] Leonard Eugene Dickson, Eliakim Hastings Moore, Science (2) vol. 77 (1933) pp. 79-80. · JFM 59.0854.08
[254] L. E. Dickson, Minimum Decompositions Into \?-TH Powers, Amer. J. Math. 55 (1933), no. 1-4, 593 – 602. · Zbl 0008.00405 · doi:10.2307/2371152
[255] Leonard Eugene Dickson, Recent progress on Waring’s theorem and its generalizations, Bull. Amer. Math. Soc. vol. 39 (1933) pp. 701-727. · Zbl 0008.00501
[256] Leonard Eugene Dickson, Waring’s problem for cubic functions, Trans. Amer. Math. Soc. vol. 36 (1934) pp. 1-12. · Zbl 0008.29702
[257] Leonard Eugene Dickson, Waring’s problem for ninth powers, Bull. Amer. Math. Soc. vol. 40 (1934) pp. 487-493. · Zbl 0009.29903
[258] Leonard Eugene Dickson, Universal Waring theorem for eleventh powers, J. London Math. Soc. vol. 9 (1934) pp. 201-206. · Zbl 0009.29904
[259] L. E. Dickson, Two-Fold Generalizations of Cauchy’s Lemma, Amer. J. Math. 56 (1934), no. 1-4, 513 – 528. · Zbl 0010.05404 · doi:10.2307/2370952
[260] Leonard Eugene Dickson, The converse of Waring’s problem, Bull. Amer. Math. Soc. vol. 40 (1934) pp. 711-714. · Zbl 0010.10305
[261] L. E. Dickson, A New Method for Universal Waring Theorems with Details for Seventh Powers, Amer. Math. Monthly 41 (1934), no. 9, 547 – 555. · Zbl 0010.29405 · doi:10.2307/2301430
[262] L. E. Dickson, A new method for Waring theorems with polynomial summands, Trans. Amer. Math. Soc. 36 (1934), no. 4, 731 – 748. · Zbl 0010.29501
[263] Leonard Eugene Dickson, Polygonal numbers and related Waring problems, Quart. J. Math. Oxford Ser. vol. 5 (1934) pp. 283-290. · Zbl 0010.39101
[264] Leonard Eugene Dickson, Congruences involving only e-th powers, Acta Arithmetica vol. 1 (1935) pp. 161-167. · Zbl 0011.05302
[265] L. E. Dickson, Cyclotomy and trinomial congruences, Trans. Amer. Math. Soc. 37 (1935), no. 3, 363 – 380. · Zbl 0011.29301
[266] L. E. Dickson, Cyclotomy, Higher Congruences, and Waring’s Problem, Amer. J. Math. 57 (1935), no. 2, 391 – 424. · Zbl 0012.01203 · doi:10.2307/2371217
[267] L. E. Dickson, Cyclotomy, Higher Congruences, and Waring’s Problem II, Amer. J. Math. 57 (1935), no. 3, 463 – 474. · Zbl 0012.29004 · doi:10.2307/2371178
[268] L. E. Dickson, Linear algebras with associativity not assumed, Duke Math. J. 1 (1935), no. 2, 113 – 125. · Zbl 0012.14801 · doi:10.1215/S0012-7094-35-00112-0
[269] L. E. Dickson, Cyclotomy when \? is composite, Trans. Amer. Math. Soc. 38 (1935), no. 2, 187 – 200. · Zbl 0012.33803
[270] Leonard Eugene Dickson, Universal Waring theorems with cubic summands, Acta Arithmetica vol. 1 (1935) pp. 184-196 and Prace Matematyczno-Fizyczne vol. 43 (1936) pp. 223-235. · Zbl 0013.10401
[271] L. E. Dickson, Waring Theorems of New Type, Amer. J. Math. 58 (1936), no. 2, 241 – 248. · Zbl 0013.34604 · doi:10.2307/2371033
[272] Leonard Eugene Dickson, On Waring’s problem and its generalization, Ann. of Math. (2) vol. 37 (1936) pp. 293-316. · Zbl 0013.39102
[273] L. E. Dickson, A new method for Waring theorems with polynomial summands. II, Trans. Amer. Math. Soc. 39 (1936), no. 2, 205 – 208. · Zbl 0014.01004
[274] L. E. Dickson, Universal Waring theorems, Monatsh. Math. Phys. 43 (1936), no. 1, 391 – 400. · Zbl 0014.10205 · doi:10.1007/BF01707618
[275] L. E. Dickson, The ideal Waring theorem for twelfth powers, Duke Math. J. 2 (1936), no. 2, 192 – 204. · Zbl 0014.25101 · doi:10.1215/S0012-7094-36-00218-1
[276] L. E. Dickson, Proof of the Ideal Waring Theorem for Exponents 7-180, Amer. J. Math. 58 (1936), no. 3, 521 – 529. · Zbl 0014.25102 · doi:10.2307/2370969
[277] L. E. Dickson, Solution of Waring’s Problem, Amer. J. Math. 58 (1936), no. 3, 530 – 535. · Zbl 0014.25103 · doi:10.2307/2370970
[278] Leonard Eugene Dickson, A generalization of Waring’s problem, Bull. Amer. Math. Soc. vol. 42 (1936) pp. 525-529. · Zbl 0014.34502
[279] Leonard Eugene Dickson, The Waring problem and its generalizations, Bull. Amer. Math. Soc. vol. 42 (1936) pp. 833-842. · Zbl 0015.34304
[280] Leonard Eugene Dickson, New Waring theorems for polygonal numbers, Quart. J. Math. Oxford Ser. vol. 8 (1937) pp. 62-65. · Zbl 0016.39102
[281] Leonard Eugene Dickson, Universal forms \(\sum a_ix_i^n\) and Waring’s problem, Acta Arithmetica vol. 2 (1937) pp. 177-196. · Zbl 0018.29403
[282] Leonard Eugene Dickson, New First Course in the Theory of Equations, John Wiley and Sons, Inc., New York, 1939. · Zbl 0060.04601
[283] L. E. Dickson, All integers except 23 and 239 are sums of eight cubes, Bull. Amer. Math. Soc. 45 (1939), 588 – 591. · Zbl 0021.39102
[284] Leonard Eugene Dickson, Modern Elementary Theory of Numbers, University of Chicago Press, Chicago, 1939. · Zbl 0024.24801
[285] L. E. Dickson, Obituary: Hans Frederik Blichfeldt. 1873 – 1945, Bull. Amer. Math. Soc. 53 (1947), 882 – 883. · Zbl 0031.09905
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