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Dickson, Leonard Eugene (b. 1874 d. 1954)

Author ID: dickson.leonard-eugene Recent zbMATH articles by "Dickson, Leonard Eugene"
Published as: Dickson, L. E.; Dickson, Leonard Eugene; Dickson, Leonard E.; Dickson, L.
External Links: Celebratio Mathematica · MacTutor · MGP · Wikidata · GND · IdRef
Documents Indexed: 402 Publications since 1894, including 45 Books
Biographic References: 11 Publications
Co-Authors: 6 Co-Authors with 6 Joint Publications
14 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

49 Publications have been cited 1,019 times in 942 Documents Cited by Year
Linear groups. With an exposition of the Galois field theory. With an introduction by Wilhelm Magnus. Unabridged and unaltered republ. of the first ed. Zbl 0082.24901
Dickson, Leonard Eugene
429
1958
History of the theory of numbers. Vol. I: Divisibility and primality. Vol. II: Diophantine analysis. Vol. III: Quadratic and higher forms. Reprint of the 1920-1923 originals. Zbl 0958.11500
Dickson, Leonard Eugene
85
1966
Cyclotomy, higher congruences, and Waring’s problem. Zbl 0012.01203
Dickson, L. E.
64
1935
On invariants and the theory of numbers. (The Madison Colloquium, 1913, Part I) Unabridged and unaltered republication. Zbl 0139.26603
Dickson, Leonard E.
60
1966
History of the theory of numbers. Vol. II: Diophantine analysis. Reprint of the 1920 original published by Carnegie Institution, Washington, DC. Zbl 1214.11002
Dickson, Leonard Eugene
51
2005
Modern elementary theory of numbers. Zbl 0027.29502
Dickson, Leonard Eugene
49
1939
Introduction to the theory of numbers. Reprint. Zbl 0084.26901
Dickson, Leonard Eugene
46
1957
Theory and applications of finite groups. Zbl 0098.25103
Miller, G. A.; Blichfeldt, H. F.; Dickson, L. E.
43
1961
Linear algebras with associativity not assumed. Zbl 0012.14801
Dickson, L. E.
33
1935
Cyclotomy and trinomial congruences. Zbl 0011.29301
Dickson, L. E.
15
1935
New first course in the theory of equations. Zbl 0060.04601
Dickson, Leonard Eugene
15
1939
The collected mathematical papers of Leonard Eugene Dickson. Edited by A. Adrian Albert. Vol. I, II, III, IV, V. Zbl 0389.01012
Dickson, Leonard Eugene
10
1975
Algebras and their arithmetics. Unabridged and unaltered republ. of the first ed. 1923. Zbl 0086.25602
Dickson, Leonard Eugene
10
1960
Cyclotomy when e is composite. Zbl 0012.33803
Dickson, L. E.
8
1935
Modern elementary theory of numbers. Zbl 0024.24801
Dickson, Leonard Eugene
8
1939
Einführung in die Zahlentheorie. Autorisierte deutsche Ausgabe von ”Introduction to the theory of numbers”. Hrsg. von Ewald Bodewig. Zbl 0002.01103
Dickson, L. E.
6
1931
Cyclotomy, higher congruences, and Waring’s problem. II. Zbl 0012.29004
Dickson, L. E.
6
1935
Algebras and their arithmetics. Reprint of 1923 ed. Zbl 0021.29401
Dickson, L. E.
6
1938
History of the theory of numbers. Vol. I: Divisibility and primality. Reprint of the 1919 original published by Carnegie Institution, Washington, DC. Zbl 1214.11001
Dickson, Leonard Eugene
6
2005
Algebraic theories. (Formerly titled: Modern algebraic theories.) Unabridged and unaltered republ. of the first ed. Zbl 0086.01103
Dickson, Leonard E.
6
1959
History of the theory of numbers. Vol. III: Quadratic and higher forms. Reprint of the 1923 original published by Carnegie Institution, Washington, DC. Zbl 1214.11003
Dickson, Leonard Eugene
5
2005
Two-fold generalizations of Cauchy’s lemma. Zbl 0010.05404
Dickson, L. E.
4
1934
The converse of Waring’s problem. Zbl 0010.10305
Dickson, L. E.
4
1934
Proof of the ideal Waring theorem for exponents 7-180. Zbl 0014.25102
Dickson, L. E.
4
1936
Solution of Waring’s problem. Zbl 0014.25103
Dickson, L. E.
4
1936
All integers except 23 and 239 are sums of eight cubes. Zbl 0021.39102
Dickson, L. E.
4
1939
Universal Waring theorems. Zbl 0014.10205
Dickson, L. E.
3
1936
The ideal Waring theorem for twelfth powers. Zbl 0014.25101
Dickson, L. E.
3
1936
Waring’s problem for ninth powers. Zbl 0009.29903
Dickson, L. E.
2
1934
Universal Waring theorem for eleventh powers. Zbl 0009.29904
Dickson, L. E.
2
1934
Waring’s problem for cubic functions. Zbl 0008.29702
Dickson, L. E.
2
1934
The Waring problem and its generalizations. Zbl 0015.34304
Dickson, L. E.
2
1936
Minimum decompositions into fifth powers. Zbl 0008.00404
Dickson, L. E.
2
1933
Proof of a Waring theorem on fifth powers. Zbl 0002.24701
Dickson, L. E.
2
1931
A new method for universal Waring theorems with details for seventh powers. Zbl 0010.29405
Dickson, L. E.
2
1934
A new method for Waring theorems with polynomial summands. Zbl 0010.29501
Dickson, L. E.
2
1934
Congruences involving only \(e\)-th powers. Zbl 0011.05302
Dickson, L. E.
2
1935
Universal forms \(\sum a_ix_i^n\) and Waring’s problem. Zbl 0018.29403
Dickson, L. E.
2
1937
Hans Frederik Blichfeldt. 1873-1945. Zbl 0031.09905
Dickson, L. E.
2
1947
A new method for Waring theorems with polynomial summands. II. Zbl 0014.01004
Dickson, L. E.
1
1936
A generalization of Waring’s problem. Zbl 0014.34502
Dickson, L. E.
1
1936
Constructions with ruler and compasses; regular polygons. Zbl 0067.12701
Dickson, L. E.
1
1955
Minimum decompositions into \(n\)-th powers. Zbl 0008.00405
Dickson, L. E.
1
1933
Recent progress on Waring’s theorem and its generalizations. Zbl 0008.00501
Dickson, L. E.
1
1933
Polygonal numbers and related Waring problems. Zbl 0010.39101
Dickson, L. E.
1
1934
Universal Waring theorems with cubic summands. Zbl 0013.10401
Dickson, L. E.
1
1936
Waring theorems of new type. Zbl 0013.34604
Dickson, L. E.
1
1936
On Waring’s problem and its generalization. Zbl 0013.39102
Dickson, L. E.
1
1936
New Waring theorems for polygonal numbers. Zbl 0016.39102
Dickson, L. E.
1
1937
History of the theory of numbers. Vol. II: Diophantine analysis. Reprint of the 1920 original published by Carnegie Institution, Washington, DC. Zbl 1214.11002
Dickson, Leonard Eugene
51
2005
History of the theory of numbers. Vol. I: Divisibility and primality. Reprint of the 1919 original published by Carnegie Institution, Washington, DC. Zbl 1214.11001
Dickson, Leonard Eugene
6
2005
History of the theory of numbers. Vol. III: Quadratic and higher forms. Reprint of the 1923 original published by Carnegie Institution, Washington, DC. Zbl 1214.11003
Dickson, Leonard Eugene
5
2005
The collected mathematical papers of Leonard Eugene Dickson. Edited by A. Adrian Albert. Vol. I, II, III, IV, V. Zbl 0389.01012
Dickson, Leonard Eugene
10
1975
History of the theory of numbers. Vol. I: Divisibility and primality. Vol. II: Diophantine analysis. Vol. III: Quadratic and higher forms. Reprint of the 1920-1923 originals. Zbl 0958.11500
Dickson, Leonard Eugene
85
1966
On invariants and the theory of numbers. (The Madison Colloquium, 1913, Part I) Unabridged and unaltered republication. Zbl 0139.26603
Dickson, Leonard E.
60
1966
Theory and applications of finite groups. Zbl 0098.25103
Miller, G. A.; Blichfeldt, H. F.; Dickson, L. E.
43
1961
Algebras and their arithmetics. Unabridged and unaltered republ. of the first ed. 1923. Zbl 0086.25602
Dickson, Leonard Eugene
10
1960
Algebraic theories. (Formerly titled: Modern algebraic theories.) Unabridged and unaltered republ. of the first ed. Zbl 0086.01103
Dickson, Leonard E.
6
1959
Linear groups. With an exposition of the Galois field theory. With an introduction by Wilhelm Magnus. Unabridged and unaltered republ. of the first ed. Zbl 0082.24901
Dickson, Leonard Eugene
429
1958
Introduction to the theory of numbers. Reprint. Zbl 0084.26901
Dickson, Leonard Eugene
46
1957
Constructions with ruler and compasses; regular polygons. Zbl 0067.12701
Dickson, L. E.
1
1955
Hans Frederik Blichfeldt. 1873-1945. Zbl 0031.09905
Dickson, L. E.
2
1947
Modern elementary theory of numbers. Zbl 0027.29502
Dickson, Leonard Eugene
49
1939
New first course in the theory of equations. Zbl 0060.04601
Dickson, Leonard Eugene
15
1939
Modern elementary theory of numbers. Zbl 0024.24801
Dickson, Leonard Eugene
8
1939
All integers except 23 and 239 are sums of eight cubes. Zbl 0021.39102
Dickson, L. E.
4
1939
Algebras and their arithmetics. Reprint of 1923 ed. Zbl 0021.29401
Dickson, L. E.
6
1938
Universal forms \(\sum a_ix_i^n\) and Waring’s problem. Zbl 0018.29403
Dickson, L. E.
2
1937
New Waring theorems for polygonal numbers. Zbl 0016.39102
Dickson, L. E.
1
1937
Proof of the ideal Waring theorem for exponents 7-180. Zbl 0014.25102
Dickson, L. E.
4
1936
Solution of Waring’s problem. Zbl 0014.25103
Dickson, L. E.
4
1936
Universal Waring theorems. Zbl 0014.10205
Dickson, L. E.
3
1936
The ideal Waring theorem for twelfth powers. Zbl 0014.25101
Dickson, L. E.
3
1936
The Waring problem and its generalizations. Zbl 0015.34304
Dickson, L. E.
2
1936
A new method for Waring theorems with polynomial summands. II. Zbl 0014.01004
Dickson, L. E.
1
1936
A generalization of Waring’s problem. Zbl 0014.34502
Dickson, L. E.
1
1936
Universal Waring theorems with cubic summands. Zbl 0013.10401
Dickson, L. E.
1
1936
Waring theorems of new type. Zbl 0013.34604
Dickson, L. E.
1
1936
On Waring’s problem and its generalization. Zbl 0013.39102
Dickson, L. E.
1
1936
Cyclotomy, higher congruences, and Waring’s problem. Zbl 0012.01203
Dickson, L. E.
64
1935
Linear algebras with associativity not assumed. Zbl 0012.14801
Dickson, L. E.
33
1935
Cyclotomy and trinomial congruences. Zbl 0011.29301
Dickson, L. E.
15
1935
Cyclotomy when e is composite. Zbl 0012.33803
Dickson, L. E.
8
1935
Cyclotomy, higher congruences, and Waring’s problem. II. Zbl 0012.29004
Dickson, L. E.
6
1935
Congruences involving only \(e\)-th powers. Zbl 0011.05302
Dickson, L. E.
2
1935
Two-fold generalizations of Cauchy’s lemma. Zbl 0010.05404
Dickson, L. E.
4
1934
The converse of Waring’s problem. Zbl 0010.10305
Dickson, L. E.
4
1934
Waring’s problem for ninth powers. Zbl 0009.29903
Dickson, L. E.
2
1934
Universal Waring theorem for eleventh powers. Zbl 0009.29904
Dickson, L. E.
2
1934
Waring’s problem for cubic functions. Zbl 0008.29702
Dickson, L. E.
2
1934
A new method for universal Waring theorems with details for seventh powers. Zbl 0010.29405
Dickson, L. E.
2
1934
A new method for Waring theorems with polynomial summands. Zbl 0010.29501
Dickson, L. E.
2
1934
Polygonal numbers and related Waring problems. Zbl 0010.39101
Dickson, L. E.
1
1934
Minimum decompositions into fifth powers. Zbl 0008.00404
Dickson, L. E.
2
1933
Minimum decompositions into \(n\)-th powers. Zbl 0008.00405
Dickson, L. E.
1
1933
Recent progress on Waring’s theorem and its generalizations. Zbl 0008.00501
Dickson, L. E.
1
1933
Einführung in die Zahlentheorie. Autorisierte deutsche Ausgabe von ”Introduction to the theory of numbers”. Hrsg. von Ewald Bodewig. Zbl 0002.01103
Dickson, L. E.
6
1931
Proof of a Waring theorem on fifth powers. Zbl 0002.24701
Dickson, L. E.
2
1931
all top 5

Cited by 1,099 Authors

17 Williams, Kenneth S.
11 Praeger, Cheryl Elisabeth
10 Giudici, Michael
10 Zhang, Yong
9 Brawley, Joel Vincent jun.
9 Hou, Xiang-Dong
9 Johnson, Norman Lloyd
8 Jones, Gareth A.
8 Pan, Jiangmin
7 Li, Caiheng
7 Ludkovsky, Sergey Victor
7 Ostrom, Theodore G.
6 Carlitz, Leonard
6 Helleseth, Tor
6 Leemans, Dimitri
6 Ling, Bo
6 Thaine, Francisco
5 Aschbacher, Michael George
5 Berkovich, Alexander
5 Byard, Kevin
5 Dujella, Andrej
5 Feng, Yanquan
5 Ismail, Mourad El-Houssieny
5 Kantor, William M.
5 Maróti, Attila
5 Schulz, Ralph-Hardo
5 Sezer, Müfit
5 Sun, Zhi-Wei
5 Ulas, Maciej
5 Ward, Harold N.
5 Wong, Warren J.
4 Berndt, Bruce Carl
4 Cameron, Peter Jephson
4 Choudhry, Ajai
4 Ding, Suyun
4 Evans, Ronald J.
4 Foulser, David A.
4 Hajdu, Lajos
4 Janko, Zvonimir
4 Luca, Florian
4 Lüneburg, Heinz
4 Montinaro, Alessandro
4 Muskat, Joseph B.
4 O’Nan, Michael E.
4 Penttila, Tim
4 Pumplün, Susanne
4 Shamsi Zargar, Arman
4 Shank, R. James
4 Sloane, Neil James Alexander
4 Tengely, Szabolcs
4 Wagner, Ascher
4 Zeng, Xiangyong
4 Zhou, Jinxin
3 Ahmed, Mohammad Helal Uddin
3 Baker, Mark D.
3 Bao, Jingjun
3 Budaghyan, Lilya
3 Devillers, Alice
3 Doyle, Greg
3 Dye, Roger H.
3 Glynn, David G.
3 He, Bo
3 He, Zilong
3 Hoshi, Akinari
3 Hudson, Richard H.
3 Ivanov, Alexander A.
3 Ji, Lijun
3 Kulkarni, Raghavendra G.
3 Lewis, Mark L.
3 Lidl, Rudolf
3 Lou, Bengong
3 Margolis, Leo
3 Matsuda, Kazuhide
3 Montesinos-Amilibia, José María
3 Nguyen Xuan Tho
3 Oh, Byeong-Kweon
3 Pehlivan, Lerna
3 Pintér, Ákos
3 Pomareda, Rolando J.
3 Reid, Alan W.
3 Reutenauer, Christophe
3 Rowley, Peter J.
3 Širáň, Jozef
3 Smith, Larry
3 Swartz, Eric
3 Tanti, Jagmohan
3 Togbé, Alain
3 Tu, Ziran
3 Varga, Nóra
3 Vaserstein, Leonid N.
3 Vavilov, Nikolaĭ Aleksandrovich
3 Verret, Gabriel
3 Voight, John Michael
3 Walker, Michael
3 Wehlau, David Louis
3 Whiteman, Albert Leon
3 Zee, Yun-Cheng
2 Akbary, Amir
2 Anitha, T.
2 Arias-de-Reyna, Sara
...and 999 more Authors
all top 5

Cited in 219 Serials

83 Journal of Algebra
45 Journal of Number Theory
36 Discrete Mathematics
36 Mathematische Zeitschrift
27 Transactions of the American Mathematical Society
24 Communications in Algebra
23 Journal of Combinatorial Theory. Series A
22 Finite Fields and their Applications
20 Proceedings of the American Mathematical Society
19 Mathematics of Computation
19 Archiv der Mathematik
19 Designs, Codes and Cryptography
19 International Journal of Number Theory
16 European Journal of Combinatorics
16 Linear Algebra and its Applications
13 Journal of Geometry
12 The Ramanujan Journal
11 Mathematische Annalen
10 Bulletin of the Australian Mathematical Society
10 Journal of Pure and Applied Algebra
9 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
9 Journal of Algebraic Combinatorics
8 Advances in Mathematics
8 Proceedings of the Japan Academy. Series A
8 Journal of Algebra and its Applications
8 Bulletin of the American Mathematical Society
7 Rocky Mountain Journal of Mathematics
7 Bulletin of the American Mathematical Society. New Series
7 Integers
7 Journal of the Australian Mathematical Society
6 Israel Journal of Mathematics
6 Mathematical Notes
6 Periodica Mathematica Hungarica
6 Functiones et Approximatio. Commentarii Mathematici
6 Manuscripta Mathematica
6 Monatshefte für Mathematik
6 Historia Mathematica
6 Journal de Théorie des Nombres de Bordeaux
6 Journal of Integer Sequences
6 Ars Mathematica Contemporanea
5 Inventiones Mathematicae
5 Journal of Combinatorial Theory. Series B
5 Advances in Applied Mathematics
5 Graphs and Combinatorics
5 Journal of Symbolic Computation
5 Advances in Applied Clifford Algebras
5 Journal of Group Theory
4 American Mathematical Monthly
4 Indian Journal of Pure & Applied Mathematics
4 Acta Mathematica
4 Algebra and Logic
4 Duke Mathematical Journal
4 Geometriae Dedicata
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 Rendiconti del Circolo Matemàtico di Palermo. Serie II
4 Experimental Mathematics
4 Cryptography and Communications
3 Mathematics Magazine
3 Czechoslovak Mathematical Journal
3 Glasgow Mathematical Journal
3 Mathematika
3 Rendiconti del Seminario Matematico della Università di Padova
3 Results in Mathematics
3 Theoretical Computer Science
3 SIAM Journal on Algebraic and Discrete Methods
3 Expositiones Mathematicae
3 Journal of Combinatorial Designs
3 Doklady Mathematics
3 Central European Journal of Mathematics
3 Advances in Mathematics of Communications
3 Science China. Mathematics
3 Research in Number Theory
2 Computers & Mathematics with Applications
2 International Journal of Mathematical Education in Science and Technology
2 Journal d’Analyse Mathématique
2 Journal of Mathematical Analysis and Applications
2 Linear and Multilinear Algebra
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Physics Letters. A
2 Chaos, Solitons and Fractals
2 Acta Arithmetica
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Bulletin of the London Mathematical Society
2 Information Sciences
2 Journal of Computational and Applied Mathematics
2 Journal of the London Mathematical Society. Second Series
2 Journal für die Reine und Angewandte Mathematik
2 Journal of Soviet Mathematics
2 Journal of Statistical Planning and Inference
2 Mathematica Slovaca
2 Numerical Functional Analysis and Optimization
2 Tôhoku Mathematical Journal. Second Series
2 Acta Mathematica Hungarica
2 Revista Matemática Iberoamericana
2 Applied Mathematics Letters
2 Forum Mathematicum
2 International Journal of Algebra and Computation
2 Communications in Statistics. Theory and Methods
2 Elemente der Mathematik
2 International Journal of Computer Mathematics
...and 119 more Serials
all top 5

Cited in 53 Fields

411 Number theory (11-XX)
243 Group theory and generalizations (20-XX)
170 Combinatorics (05-XX)
81 Geometry (51-XX)
62 Algebraic geometry (14-XX)
54 Information and communication theory, circuits (94-XX)
40 Field theory and polynomials (12-XX)
39 Linear and multilinear algebra; matrix theory (15-XX)
37 Commutative algebra (13-XX)
30 Nonassociative rings and algebras (17-XX)
26 Associative rings and algebras (16-XX)
19 Manifolds and cell complexes (57-XX)
17 Computer science (68-XX)
16 Convex and discrete geometry (52-XX)
15 History and biography (01-XX)
12 Special functions (33-XX)
11 Functions of a complex variable (30-XX)
10 Quantum theory (81-XX)
8 Numerical analysis (65-XX)
7 Ordinary differential equations (34-XX)
7 Dynamical systems and ergodic theory (37-XX)
6 Functional analysis (46-XX)
6 Algebraic topology (55-XX)
6 Statistics (62-XX)
5 Several complex variables and analytic spaces (32-XX)
5 Operator theory (47-XX)
5 Differential geometry (53-XX)
4 Category theory; homological algebra (18-XX)
4 Real functions (26-XX)
4 Probability theory and stochastic processes (60-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 \(K\)-theory (19-XX)
3 Partial differential equations (35-XX)
3 Abstract harmonic analysis (43-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Relativity and gravitational theory (83-XX)
2 Difference and functional equations (39-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Operations research, mathematical programming (90-XX)
2 Biology and other natural sciences (92-XX)
1 General and overarching topics; collections (00-XX)
1 Mathematical logic and foundations (03-XX)
1 Topological groups, Lie groups (22-XX)
1 Measure and integration (28-XX)
1 Sequences, series, summability (40-XX)
1 Approximations and expansions (41-XX)
1 Integral equations (45-XX)
1 General topology (54-XX)
1 Mechanics of particles and systems (70-XX)
1 Mechanics of deformable solids (74-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Systems theory; control (93-XX)
1 Mathematics education (97-XX)

Citations by Year

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