Edit Profile Estes, Dennis Ray Compute Distance To: Compute Author ID: estes.dennis-ray Published as: Estes, D.; Estes, D. R.; Estes, Dennis; Estes, Dennis R. Documents Indexed: 37 Publications since 1967 Biographic References: 1 Publication 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 Lee, Albert H. 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 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 34 Publications have been cited 227 times in 189 Documents Cited by ▼ Year ▼ Stable range in commutative rings. Zbl 0156.27303Estes, D.; Ohm, J. 50 1967 Module equivalences: Local to global. When primitive polynomials represent units. Zbl 0492.13005Estes, Dennis R.; Guralnick, Robert M. 33 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. 11 1992 Spinor genera of binary quadratic forms. Zbl 0268.10010Estes, Dennis R.; Pall, Gordon 10 1973 Sums of three integer squares in complex quadratic fields. Zbl 0524.10016Estes, Dennis R.; Hsia, J. S. 9 1983 Minimal polynomials of integral symmetric matrices. Zbl 0791.15012Estes, Dennis R.; Guralnick, Robert M. 8 1993 Eigenvalues of symmetric matrices and graphs. Zbl 0826.15006Bass, Hyman; Estes, Dennis R.; Guralnick, Robert M. 7 1994 Exceptional integers of some ternary quadratic forms. Zbl 0493.10022Estes, Dennis R.; Hsia, J. S. 7 1982 Modules and binary quadratic forms over integral domains. Zbl 0159.32702Butts, Hubert S.; Estes, Dennis 7 1968 Matrix factorizations, exterior powers, and complete intersections. Zbl 0428.13004Estes, Dennis R.; Matijevic, Jacob R. 6 1979 Factorization in quaternion orders. Zbl 0682.12011Estes, Dennis R.; Nipp, Gordon 5 1989 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 Equations in prime powers. Zbl 0581.20009Estes, D.; Guralnick, R.; Schacher, M.; Straus, E. 4 1985 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 Modules and rings in the Cayley algebra. Zbl 0186.34503Estes, D.; Pall, G. 4 1969 Factorization in quaternion orders over number fields. Zbl 0766.11045Estes, Dennis R. 3 1991 Factorization in hereditary orders. Zbl 0735.16012Estes, Dennis R. 3 1991 Solving bivariate quadratic congruences in random polynomial time. Zbl 0622.10003Adleman, Leonard M.; Estes, Dennis R.; McCurley, Kevin S. 3 1987 An algebraic approach to the growth of class numbers of binary quadratic lattices. Zbl 0465.10014Earnest, A. G.; Estes, Dennis R. 3 1981 A generalization of the homomorphism concept. Zbl 0386.08003Blum, E. K.; Estes, D. R. 3 1977 Spinor genera under field extensions. IV: Spinor class fields. Zbl 0725.11019Estes, Dennis R.; Hsia, J. S. 2 1990 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. 2 1986 Local-global criteria for outer product rings. Zbl 0459.13007Estes, Dennis R.; Matijevic, Jacob R. 2 1980 Determinants of Galois automorphisms of maximal commutative rings of \(2\times 2\) matrices. Zbl 0418.15011Estes, Dennis R. 2 1979 The definite octonary quadratic forms of determinant 1. Zbl 0188.34903Estes, D.; Pall, G. 2 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 Remarks concerning sums of three squares and quaternion commutator identities. Zbl 0449.10037Estes, Dennis R.; Taussky, Olga 1 1981 Scalar matrices as multiplicative commutators having prescribed determinants for the variables. Zbl 0429.15008Estes, Dennis R. 1 1980 A reconsideration of Legendre-Jacobi symbols. Zbl 0268.10004Estes, Dennis R.; Pall, Gordon 1 1973 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. 7 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. 11 1992 Factorization in quaternion orders over number fields. Zbl 0766.11045Estes, Dennis R. 3 1991 Factorization in hereditary orders. Zbl 0735.16012Estes, 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 5 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. 2 1986 Total positivity and algebraic Witt classes. Zbl 0589.10021Estes, Dennis R.; Hurrelbrink, Jürgen; Perlis, Robert 5 1985 Equations in prime powers. Zbl 0581.20009Estes, D.; Guralnick, R.; Schacher, M.; Straus, E. 4 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. 9 1983 Module equivalences: Local to global. When primitive polynomials represent units. Zbl 0492.13005Estes, Dennis R.; Guralnick, Robert M. 33 1982 Exceptional integers of some ternary quadratic forms. Zbl 0493.10022Estes, Dennis R.; Hsia, J. S. 7 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. 2 1970 Modules and rings in the Cayley algebra. Zbl 0186.34503Estes, D.; Pall, G. 4 1969 Modules and binary quadratic forms over integral domains. Zbl 0159.32702Butts, Hubert S.; Estes, Dennis 7 1968 Stable range in commutative rings. Zbl 0156.27303Estes, D.; Ohm, J. 50 1967 all cited Publications top 5 cited Publications all top 5 Cited by 194 Authors 14 Estes, Dennis Ray 12 Guralnick, Robert Michael 7 Vavilov, Nikolaĭ Aleksandrovich 6 Jakubec, Stanislav 5 Ichimura, Humio 5 Ji, Chungang 5 Pall, Gordon 5 Taussky-Todd, Olga 4 Brewer, James W. 4 Earnest, Andrew G. 4 Klingler, Lee C. 4 Smertnig, Daniel 4 Yatsyna, Pavlo 3 Baeth, Nicholas R. 3 Dias, Ires 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 Fitzgerald, Robert W. 2 Fomenko, Oleg Mstislavovich 2 Fujima, Shoichi 2 Gustafson, William H. 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 Sáez-Schwedt, Andrés 2 Sakurai, Kouichi 2 Trojovský, Pavel 2 Van der Kallen, Wilberd 2 Williams, Kenneth S. 2 Xu, Fei 2 Yasuda, Takanori 2 Zabavsky, Bogdan Volodymyrovych 1 Adams, Donald F. 1 Altun-Özarslan, Meltem 1 Ardila, Rene 1 Armknecht, Frederik 1 Badea, Catalin 1 Bisht, Nitin 1 Blum, Edward Kenneth 1 Borevich, Zenon Ivanovich 1 Brink, David M. 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 Chajda, Ivan 1 Colliot-Thélène, Jean-Louis 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 Goeters, Pat 1 Goldberg, Moshe 1 Greither, Cornelius 1 Grunewald, Fritz J. 1 Gruska, Damas P. 1 Gumbrell, Lee 1 Gvozdevsky, Pavel 1 Haensch, Anna 1 Halaš, Radomír 1 Hannasch, David 1 Hanselka, Christoph 1 Hardy, J. T. 1 Harrison-Trainor, Matthew 1 Henriksen, Melvin 1 Herbera, Dolors 1 Hershberger, B. 1 Hlawka, Edmund 1 Ho, Meng-Che 1 Hoffmann, Detlev W. 1 Horiba, Hiroto 1 Hsia, John Sollion 1 Ischebeck, Friedrich 1 Jeffries, Joel ...and 94 more Authors all top 5 Cited in 64 Serials 23 Journal of Number Theory 21 Linear Algebra and its Applications 20 Journal of Algebra 16 Communications in Algebra 8 Proceedings of the American Mathematical Society 5 Mathematics of Computation 5 Journal of Pure and Applied Algebra 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 3 Mathematica Slovaca 3 Transactions of the American Mathematical Society 2 Linear and Multilinear Algebra 2 Rocky Mountain Journal of Mathematics 2 Functiones et Approximatio. Commentarii Mathematici 2 Inventiones Mathematicae 2 Journal of Computer and System Sciences 2 Mathematische Zeitschrift 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 Acta Arithmetica 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 of the Korean Mathematical Society 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 Games and Economic Behavior 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Experimental Mathematics 1 St. Petersburg Mathematical Journal 1 Turkish Journal of Mathematics 1 Matematychni Studiï 1 LMS Journal of Computation and Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of \(K\)-Theory 1 Pacific Journal of Mathematics for Industry all top 5 Cited in 25 Fields 87 Number theory (11-XX) 47 Commutative algebra (13-XX) 33 Linear and multilinear algebra; matrix theory (15-XX) 31 Associative rings and algebras (16-XX) 24 Group theory and generalizations (20-XX) 14 \(K\)-theory (19-XX) 9 Field theory and polynomials (12-XX) 9 Algebraic geometry (14-XX) 8 Combinatorics (05-XX) 5 Systems theory; control (93-XX) 4 History and biography (01-XX) 4 Category theory; homological algebra (18-XX) 3 Geometry (51-XX) 3 Computer science (68-XX) 3 Information and communication theory, circuits (94-XX) 2 Mathematical logic and foundations (03-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 General algebraic systems (08-XX) 2 Nonassociative rings and algebras (17-XX) 2 Functions of a complex variable (30-XX) 2 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year