Edit Profile (opens in new tab) Estes, Dennis Ray Compute Distance To: Compute Author ID: estes.dennis-ray Published as: Estes, Dennis R.; Estes, D.; Estes, Dennis; Estes, D. R. more...less Documents Indexed: 37 Publications since 1967 Biographic References: 1 Publication Co-Authors: 24 Co-Authors with 30 Joint Publications 558 Co-Co-Authors all top 5 Co-Authors 6 single-authored 6 Guralnick, Robert Michael 4 Pall, Gordon 3 Hsia, John Sollion 3 Matijevic, Jacob R. 2 Adleman, Leonard Max 2 Earnest, Andrew G. 2 McCurley, Kevin S. 1 Bass, Hyman 1 Blum, Edward Kenneth 1 Butts, Hubert S. 1 Chan, Wai Kiu 1 Hurrelbrink, Jurgen 1 Jochner, Michael 1 Kojima, Tetsuro 1 Kompella, Kireeti 1 Miller, Gary Lee 1 Moon, Kyunghee 1 Nipp, Gordon L. 1 Ohm, Jack 1 Perlis, Robert 1 Schacher, Murray M. 1 Straus, Ernst G. 1 Taussky-Todd, Olga 1 Waid, Carter all top 5 Serials 6 Journal of Number Theory 5 Journal of Algebra 5 Linear Algebra and its Applications 2 Advances in Mathematics 1 Computers & Mathematics with Applications 1 Linear and Multilinear Algebra 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Algebra Universalis 1 Canadian Journal of Mathematics 1 Commentarii Mathematici Helvetici 1 Illinois Journal of Mathematics 1 Journal of Pure and Applied Algebra 1 Japanese Journal of Mathematics. New Series 1 Mathematika 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Finite Fields and their Applications 1 Nova Journal of Algebra and Geometry all top 5 Fields 23 Number theory (11-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 6 Commutative algebra (13-XX) 6 Associative rings and algebras (16-XX) 2 Algebraic geometry (14-XX) 2 Group theory and generalizations (20-XX) 1 Combinatorics (05-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functional analysis (46-XX) 1 Computer science (68-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 34 Publications have been cited 247 times in 207 Documents Cited by ▼ Year ▼ Stable range in commutative rings. Zbl 0156.27303Estes, D.; Ohm, J. 57 1967 Module equivalences: Local to global. When primitive polynomials represent units. Zbl 0492.13005Estes, Dennis R.; Guralnick, Robert M. 35 1982 On the parity of the class number of the field of q-th roots of unity. Zbl 0703.11052Estes, Dennis R. 17 1989 Eigenvalues of symmetric integer matrices. Zbl 0759.15007Estes, Dennis R. 13 1992 Sums of three integer squares in complex quadratic fields. Zbl 0524.10016Estes, Dennis R.; Hsia, J. S. 11 1983 Spinor genera of binary quadratic forms. Zbl 0268.10010Estes, Dennis R.; Pall, Gordon 10 1973 Eigenvalues of symmetric matrices and graphs. Zbl 0826.15006Bass, Hyman; Estes, Dennis R.; Guralnick, Robert M. 9 1994 Exceptional integers of some ternary quadratic forms. Zbl 0493.10022Estes, Dennis R.; Hsia, J. S. 8 1982 Modules and binary quadratic forms over integral domains. Zbl 0159.32702Butts, Hubert S.; Estes, Dennis 8 1968 Minimal polynomials of integral symmetric matrices. Zbl 0791.15012Estes, Dennis R.; Guralnick, Robert M. 8 1993 Equations in prime powers. Zbl 0581.20009Estes, D.; Guralnick, R.; Schacher, M.; Straus, E. 6 1985 Factorization in quaternion orders. Zbl 0682.12011Estes, Dennis R.; Nipp, Gordon 6 1989 Matrix factorizations, exterior powers, and complete intersections. Zbl 0428.13004Estes, Dennis R.; Matijevic, Jacob R. 6 1979 Total positivity and algebraic Witt classes. Zbl 0589.10021Estes, Dennis R.; Hurrelbrink, Jürgen; Perlis, Robert 5 1985 Class groups in the genus and spinor genus of binary quadratic lattices. Zbl 0397.10011Earnest, A. G.; Estes, Dennis R. 5 1980 Factorization in hereditary orders. Zbl 0735.16012Estes, Dennis R. 4 1991 Representations under ring extensions: Latimer-MacDuffee and Taussky correspondences. Zbl 0563.13016Estes, Dennis R.; Guralnick, Robert M. 4 1984 Unique factorization of matrices and Towber rings. Zbl 0422.16012Estes, Dennis R.; Matijevic, Jacob R. 4 1979 Factorization in quaternion orders over number fields. Zbl 0766.11045Estes, Dennis R. 3 1991 Breaking the Ong-Schnorr-Shamir signature scheme for quadratic number fields. Zbl 0588.94006Estes, Dennis; Adleman, Leonard M.; Kompella, Kireeti; McCurley, Kevin S.; Miller, Gary L. 3 1986 Solving bivariate quadratic congruences in random polynomial time. Zbl 0622.10003Adleman, Leonard M.; Estes, Dennis R.; McCurley, Kevin S. 3 1987 A generalization of the homomorphism concept. Zbl 0386.08003Blum, E. K.; Estes, D. R. 3 1977 An algebraic approach to the growth of class numbers of binary quadratic lattices. Zbl 0465.10014Earnest, A. G.; Estes, Dennis R. 3 1981 Modules and rings in the Cayley algebra. Zbl 0186.34503Estes, D.; Pall, G. 3 1969 Determinants of Galois automorphisms of maximal commutative rings of \(2\times 2\) matrices. Zbl 0418.15011Estes, Dennis R. 2 1979 Local-global criteria for outer product rings. Zbl 0459.13007Estes, Dennis R.; Matijevic, Jacob R. 2 1980 Spinor genera under field extensions. IV: Spinor class fields. Zbl 0725.11019Estes, Dennis R.; Hsia, J. S. 2 1990 A reconsideration of Legendre-Jacobi symbols. Zbl 0268.10004Estes, Dennis R.; Pall, Gordon 1 1973 Scalar matrices as multiplicative commutators having prescribed determinants for the variables. Zbl 0429.15008Estes, Dennis R. 1 1980 Remarks concerning sums of three squares and quaternion commutator identities. Zbl 0449.10037Estes, Dennis R.; Taussky, Olga 1 1981 The definite octonary quadratic forms of determinant 1. Zbl 0188.34903Estes, D.; Pall, G. 1 1970 Form class groups over number fields. Zbl 1002.11085Estes, Dennis R.; Moon, Kyunghee 1 1999 A stable range for quadratic forms over commutative rings. Zbl 0886.11020Estes, Dennis R.; Guralnick, Robert M. 1 1997 Ireducible quadratic factors of \(x^{(q^n+1)/2}+ax+b\) over \(\mathbb{F}_q\). Zbl 0894.11048Estes, Dennis R.; Kojima, Tetsuro 1 1996 Form class groups over number fields. Zbl 1002.11085Estes, Dennis R.; Moon, Kyunghee 1 1999 A stable range for quadratic forms over commutative rings. Zbl 0886.11020Estes, Dennis R.; Guralnick, Robert M. 1 1997 Ireducible quadratic factors of \(x^{(q^n+1)/2}+ax+b\) over \(\mathbb{F}_q\). Zbl 0894.11048Estes, Dennis R.; Kojima, Tetsuro 1 1996 Eigenvalues of symmetric matrices and graphs. Zbl 0826.15006Bass, Hyman; Estes, Dennis R.; Guralnick, Robert M. 9 1994 Minimal polynomials of integral symmetric matrices. Zbl 0791.15012Estes, Dennis R.; Guralnick, Robert M. 8 1993 Eigenvalues of symmetric integer matrices. Zbl 0759.15007Estes, Dennis R. 13 1992 Factorization in hereditary orders. Zbl 0735.16012Estes, Dennis R. 4 1991 Factorization in quaternion orders over number fields. Zbl 0766.11045Estes, Dennis R. 3 1991 Spinor genera under field extensions. IV: Spinor class fields. Zbl 0725.11019Estes, Dennis R.; Hsia, J. S. 2 1990 On the parity of the class number of the field of q-th roots of unity. Zbl 0703.11052Estes, Dennis R. 17 1989 Factorization in quaternion orders. Zbl 0682.12011Estes, Dennis R.; Nipp, Gordon 6 1989 Solving bivariate quadratic congruences in random polynomial time. Zbl 0622.10003Adleman, Leonard M.; Estes, Dennis R.; McCurley, Kevin S. 3 1987 Breaking the Ong-Schnorr-Shamir signature scheme for quadratic number fields. Zbl 0588.94006Estes, Dennis; Adleman, Leonard M.; Kompella, Kireeti; McCurley, Kevin S.; Miller, Gary L. 3 1986 Equations in prime powers. Zbl 0581.20009Estes, D.; Guralnick, R.; Schacher, M.; Straus, E. 6 1985 Total positivity and algebraic Witt classes. Zbl 0589.10021Estes, Dennis R.; Hurrelbrink, Jürgen; Perlis, Robert 5 1985 Representations under ring extensions: Latimer-MacDuffee and Taussky correspondences. Zbl 0563.13016Estes, Dennis R.; Guralnick, Robert M. 4 1984 Sums of three integer squares in complex quadratic fields. Zbl 0524.10016Estes, Dennis R.; Hsia, J. S. 11 1983 Module equivalences: Local to global. When primitive polynomials represent units. Zbl 0492.13005Estes, Dennis R.; Guralnick, Robert M. 35 1982 Exceptional integers of some ternary quadratic forms. Zbl 0493.10022Estes, Dennis R.; Hsia, J. S. 8 1982 An algebraic approach to the growth of class numbers of binary quadratic lattices. Zbl 0465.10014Earnest, A. G.; Estes, Dennis R. 3 1981 Remarks concerning sums of three squares and quaternion commutator identities. Zbl 0449.10037Estes, Dennis R.; Taussky, Olga 1 1981 Class groups in the genus and spinor genus of binary quadratic lattices. Zbl 0397.10011Earnest, A. G.; Estes, Dennis R. 5 1980 Local-global criteria for outer product rings. Zbl 0459.13007Estes, Dennis R.; Matijevic, Jacob R. 2 1980 Scalar matrices as multiplicative commutators having prescribed determinants for the variables. Zbl 0429.15008Estes, Dennis R. 1 1980 Matrix factorizations, exterior powers, and complete intersections. Zbl 0428.13004Estes, Dennis R.; Matijevic, Jacob R. 6 1979 Unique factorization of matrices and Towber rings. Zbl 0422.16012Estes, Dennis R.; Matijevic, Jacob R. 4 1979 Determinants of Galois automorphisms of maximal commutative rings of \(2\times 2\) matrices. Zbl 0418.15011Estes, Dennis R. 2 1979 A generalization of the homomorphism concept. Zbl 0386.08003Blum, E. K.; Estes, D. R. 3 1977 Spinor genera of binary quadratic forms. Zbl 0268.10010Estes, Dennis R.; Pall, Gordon 10 1973 A reconsideration of Legendre-Jacobi symbols. Zbl 0268.10004Estes, Dennis R.; Pall, Gordon 1 1973 The definite octonary quadratic forms of determinant 1. Zbl 0188.34903Estes, D.; Pall, G. 1 1970 Modules and rings in the Cayley algebra. Zbl 0186.34503Estes, D.; Pall, G. 3 1969 Modules and binary quadratic forms over integral domains. Zbl 0159.32702Butts, Hubert S.; Estes, Dennis 8 1968 Stable range in commutative rings. Zbl 0156.27303Estes, D.; Ohm, J. 57 1967 all cited Publications top 5 cited Publications all top 5 Cited by 215 Authors 13 Estes, Dennis Ray 12 Guralnick, Robert Michael 7 Vavilov, Nikolaĭ Aleksandrovich 6 Jakubec, Stanislav 5 Ichimura, Humio 5 Ji, Chungang 5 Taussky-Todd, Olga 4 Brewer, James W. 4 Earnest, Andrew G. 4 Klingler, Lee C. 4 Pall, Gordon 4 Smertnig, Daniel 4 Xu, Fei 4 Yatsyna, Pavlo 3 Baeth, Nicholas R. 3 Greaves, Gary 3 Krüskemper, Martin 3 Levy, Lawrence S. 3 McKee, James F. 3 Micali, Artibano 3 Paques, Antonio 3 Sinchuk, Sergeĭ Sergeevich 3 Vaserstein, Leonid N. 2 Anderson, Daniel D. 2 Arenas-Carmona, Luis 2 AY Saylam, Başak 2 Couchot, François 2 Dias, Ires 2 Fitzgerald, Robert W. 2 Fomenko, Oleg Mstislavovich 2 Fujima, Shoichi 2 Gustafson, William H. 2 Guyot, Luc 2 Gvozdevsky, Pavel 2 Hazrat, Roozbeh 2 Hermida Alonso, José Angel 2 Koulmann, Pascale 2 López-Cabeceira, M. M. 2 Matijevic, Jacob R. 2 McDonald, Bernard R. 2 Plotkin, Eugene 2 Rahimi, Amir Massoud 2 Romaniv, Oleh Mykolayovych 2 Sáez-Schwedt, Andrés 2 Sakurai, Kouichi 2 Trojovský, Pavel 2 Van der Kallen, Wilberd 2 Wei, Dasheng 2 Williams, Kenneth S. 2 Yasuda, Takanori 2 Zabavsky, Bogdan Volodymyrovych 1 AL-Tarimshawy, Ali Sltan Ali 1 Altun-Özarslan, Meltem 1 Ardila, Rene 1 Armknecht, Frederik 1 Baidya, Robin 1 Barendrecht, Casper 1 Belkouche, Wiam 1 Berhuy, Grégory 1 Bianchi, Massimo 1 Bisht, Nitin 1 Blum, Edward Kenneth 1 Borevich, Zenon Ivanovich 1 Bossard, Guillaume 1 Boussairi, Abderrahim 1 Brink, David 1 Budden, Mark R. 1 Buell, Duncan A. 1 Bukh, Boris 1 Butts, Hubert S. 1 Cantor, David C. 1 Cao, Lei 1 Carvalho, Paula A. A. B. 1 Chaïchaâ, Abdelhak 1 Chajda, Ivan 1 Chang, Gyu Whan 1 Colliot-Thélène, Jean-Louis 1 Consoli, Dario 1 Daniels, Harris B. 1 Del Corso, Ilaria 1 DeMeyer, Frank R. 1 Dummit, David S. 1 Eisenbud, David 1 Eisenmenger, Jeremiah 1 Elsner, Carsten 1 Epkenhans, Martin 1 Evans, E. Graham jun. 1 Facchini, Alberto 1 Fantino, Fernando 1 Feaux, C. J. 1 Gabber, Ofer 1 Garibaldi, Skip 1 Glukhov, Mikhail Mikhaĭlovich 1 Goeters, Pat 1 Goldberg, Moshe 1 Greither, Cornelius 1 Grunewald, Fritz J. 1 Gruska, Damas P. 1 Gumbrell, Lee 1 Haensch, Anna ...and 115 more Authors all top 5 Cited in 72 Serials 24 Journal of Algebra 22 Journal of Number Theory 22 Linear Algebra and its Applications 16 Communications in Algebra 8 Proceedings of the American Mathematical Society 6 Journal of Pure and Applied Algebra 5 Mathematics of Computation 5 Journal of Soviet Mathematics 5 Journal of Mathematical Sciences (New York) 4 Israel Journal of Mathematics 4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 4 Advances in Mathematics 4 Mathematica Slovaca 4 Transactions of the American Mathematical Society 3 Mathematische Zeitschrift 2 Linear and Multilinear Algebra 2 Rocky Mountain Journal of Mathematics 2 Acta Arithmetica 2 Functiones et Approximatio. Commentarii Mathematici 2 Inventiones Mathematicae 2 Journal of Computer and System Sciences 2 Journal of the Korean Mathematical Society 2 Indagationes Mathematicae. New Series 2 Journal de Théorie des Nombres de Bordeaux 2 Journal of Algebra and its Applications 1 Bulletin of the Australian Mathematical Society 1 Communications on Pure and Applied Mathematics 1 Discrete Mathematics 1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 1 Algebra and Logic 1 Algebra Universalis 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Collectanea Mathematica 1 Compositio Mathematica 1 Duke Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Combinatorial Theory. Series B 1 Journal of Functional Analysis 1 Journal of Geometry 1 Journal für die Reine und Angewandte Mathematik 1 Mathematika 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Osaka Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Quaestiones Mathematicae 1 Results in Mathematics 1 Systems & Control Letters 1 Acta Applicandae Mathematicae 1 Forum Mathematicum 1 Annales Scientifiques de l’Université Blaise Pascal Clermont-Ferrand II. Mathématiques 1 International Journal of Algebra and Computation 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Expositiones Mathematicae 1 Experimental Mathematics 1 St. Petersburg Mathematical Journal 1 Turkish Journal of Mathematics 1 The New York Journal of Mathematics 1 Geometry & Topology 1 Matematychni Studiï 1 LMS Journal of Computation and Mathematics 1 Journal of High Energy Physics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 International Electronic Journal of Algebra (IEJA) 1 Journal of \(K\)-Theory 1 Palestine Journal of Mathematics 1 Forum of Mathematics, Sigma 1 Pacific Journal of Mathematics for Industry 1 Matematicheskie Voprosy Kriptografii all top 5 Cited in 26 Fields 95 Number theory (11-XX) 52 Commutative algebra (13-XX) 36 Associative rings and algebras (16-XX) 34 Linear and multilinear algebra; matrix theory (15-XX) 30 Group theory and generalizations (20-XX) 16 \(K\)-theory (19-XX) 11 Field theory and polynomials (12-XX) 10 Combinatorics (05-XX) 9 Algebraic geometry (14-XX) 5 Systems theory; control (93-XX) 4 History and biography (01-XX) 4 Nonassociative rings and algebras (17-XX) 4 Category theory; homological algebra (18-XX) 4 Information and communication theory, circuits (94-XX) 3 Geometry (51-XX) 3 Computer science (68-XX) 2 Mathematical logic and foundations (03-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 General algebraic systems (08-XX) 2 Functions of a complex variable (30-XX) 2 Functional analysis (46-XX) 2 Quantum theory (81-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year