Edit Profile (opens in new tab) Stephens, Nelson M. Co-Author Distance Author ID: stephens.nelson-m Published as: Stephens, N. M.; Stephens, Nelson; Stephens, N.; Stephens, Nelson M. more...less Documents Indexed: 28 Publications since 1966 1 Contribution as Editor · 1 Further Contribution Co-Authors: 14 Co-Authors with 16 Joint Publications 334 Co-Co-Authors all top 5 Co-Authors 12 single-authored 3 Birch, Bryan John 3 Castelino, Diane 2 Coghlan, F. B. 1 Atkin, Arthur Oliver Lonsdale 1 Bernardi, Dominique 1 Crompton, W. 1 Davenport, James Harold 1 Everest, Graham Robert 1 Goldstein, Catherine 1 Lunnon, W. Fred 1 Miller, Victor S. 1 Piper, Fred C. 1 Pleasants, Peter A. B. 1 Silverman, Joseph Hillel 1 Smart, Nigel Paul 1 Swinnerton-Dyer, Peter 1 Thorne, M. P. 1 Tingley, D. J. 1 Vélu, Jacques all top 5 Serials 2 Bulletin of the London Mathematical Society 2 Journal für die Reine und Angewandte Mathematik 2 Proceedings of the American Mathematical Society 2 Annals of Operations Research 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematics of Computation 1 Acta Arithmetica 1 Journal of Number Theory 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Topology 1 Journal of the Ramanujan Mathematical Society 1 Linear Algebra and its Applications 1 Bulletin of the American Mathematical Society 1 Journal of the London Mathematical Society all top 5 Fields 20 Number theory (11-XX) 9 Algebraic geometry (14-XX) 6 Computer science (68-XX) 3 Combinatorics (05-XX) 3 Operations research, mathematical programming (90-XX) 3 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 26 Publications have been cited 184 times in 169 Documents Cited by ▼ Year ▼ The parity of the rank of the Mordell-Weil group. Zbl 0146.42401Birch, B. J.; Stephens, N. M. 37 1966 On the maximal multiplicative complexity of a family of bilinear forms. Zbl 0416.68039Atkinson, M. D.; Stephens, N. M. 20 1979 The diophantine equation \(X^ 3 + Y^ 3 = DZ^ 3\) and the conjectures of Birch and Swinnerton-Dyer. Zbl 0221.10023Stephens, N. M. 19 1968 Primes generated by elliptic curves. Zbl 1043.11051Everest, Graham; Miller, Victor; Stephens, Nelson 15 2004 Arithmetic properties of Bell numbers to a composite modulus. I. Zbl 0408.10006Lunnon, W. F.; Pleasants, P. A. B.; Stephens, N. M. 14 1979 Notes p-adiques, sur les courbes elliptiques. Zbl 0529.14018Bernardi, D.; Goldstein, C.; Stephens, N. 12 1984 A tabu search algorithm for frequency assignment. Zbl 0851.90094Castelino, D. J.; Hurley, S.; Stephens, N. M. 11 1996 Congruence properties of congruent numbers. Zbl 0304.10011Stephens, N. M. 11 1975 The sign of an elliptic divisibility sequence. Zbl 1148.11013Silverman, Joseph H.; Stephens, Nelson 7 2006 Computation of Heegner points. Zbl 0559.14010Birch, Bryan J.; Stephens, Nelson M. 7 1984 Integral points on elliptic curves over number fields. Zbl 0881.11054Smart, N. P.; Stephens, N. M. 5 1997 Tabu thresholding for the frequency assignment problem. Zbl 0877.90060Castelino, Diane; Stephens, Nelson 3 1996 Spaces of matrices of bounded rank. Zbl 0378.15003Atkinson, M. D.; Stephens, N. M. 3 1978 On the Feit-Thompson conjecture. Zbl 0218.10003Stephens, N. M. 3 1971 On the number of coprime solutions of \(y^2=x^3+k\). Zbl 0303.10013Stephens, N. M. 2 1975 On a conjecture of Chowla and Chowla. Zbl 0347.10012Stephens, N. M. 2 1977 A corollary to a conjecture of Birch and Swinnerton-Dyer. Zbl 0155.30103Stephens, N. M. 2 1968 Conjectures concerning elliptic curves. Zbl 0168.18902Stephens, N. M. 2 1967 The diophantine equation \(x^3 - y^2 = k\). Zbl 0217.03601Coghlan, F. B.; Stephens, N. M. 2 1971 Heegner’s construction of points on the curve \(y^ 2=x^ 2-1728e^ 3\). Zbl 0535.14012Birch, B. J.; Stephens, N. M. 2 1983 Using genetic algorithms to search for binary sequences with large merit factor. Zbl 0812.94014Crompton, W.; Stephens, N. M. 1 1993 A surrogate constraint tabu thresholding implementation for the frequency assignment problem. Zbl 0921.90127Castelino, Diane; Stephens, Nelson 1 1999 The zero-square algorithm for computing linear complexity profiles. Zbl 0762.94007Stephens, N. M. 1 1992 Dirichlet characters and polynomials. Zbl 0412.10029Stephens, N. M. 1 1979 Numerical tables on elliptic curves. Prepared by H. P. F. Swinnerton-Dyer, N. M. Stephens, James Davenport, J. Vélu, F. B. Coghlan, A. O. L. Atkin and D. J. Tingley. Zbl 1214.11006 1 1975 Computation of rational points on elliptic curves using Heegner points. Zbl 0702.14030Stephens, Nelson 1 1989 The sign of an elliptic divisibility sequence. Zbl 1148.11013Silverman, Joseph H.; Stephens, Nelson 7 2006 Primes generated by elliptic curves. Zbl 1043.11051Everest, Graham; Miller, Victor; Stephens, Nelson 15 2004 A surrogate constraint tabu thresholding implementation for the frequency assignment problem. Zbl 0921.90127Castelino, Diane; Stephens, Nelson 1 1999 Integral points on elliptic curves over number fields. Zbl 0881.11054Smart, N. P.; Stephens, N. M. 5 1997 A tabu search algorithm for frequency assignment. Zbl 0851.90094Castelino, D. J.; Hurley, S.; Stephens, N. M. 11 1996 Tabu thresholding for the frequency assignment problem. Zbl 0877.90060Castelino, Diane; Stephens, Nelson 3 1996 Using genetic algorithms to search for binary sequences with large merit factor. Zbl 0812.94014Crompton, W.; Stephens, N. M. 1 1993 The zero-square algorithm for computing linear complexity profiles. Zbl 0762.94007Stephens, N. M. 1 1992 Computation of rational points on elliptic curves using Heegner points. Zbl 0702.14030Stephens, Nelson 1 1989 Notes p-adiques, sur les courbes elliptiques. Zbl 0529.14018Bernardi, D.; Goldstein, C.; Stephens, N. 12 1984 Computation of Heegner points. Zbl 0559.14010Birch, Bryan J.; Stephens, Nelson M. 7 1984 Heegner’s construction of points on the curve \(y^ 2=x^ 2-1728e^ 3\). Zbl 0535.14012Birch, B. J.; Stephens, N. M. 2 1983 On the maximal multiplicative complexity of a family of bilinear forms. Zbl 0416.68039Atkinson, M. D.; Stephens, N. M. 20 1979 Arithmetic properties of Bell numbers to a composite modulus. I. Zbl 0408.10006Lunnon, W. F.; Pleasants, P. A. B.; Stephens, N. M. 14 1979 Dirichlet characters and polynomials. Zbl 0412.10029Stephens, N. M. 1 1979 Spaces of matrices of bounded rank. Zbl 0378.15003Atkinson, M. D.; Stephens, N. M. 3 1978 On a conjecture of Chowla and Chowla. Zbl 0347.10012Stephens, N. M. 2 1977 Congruence properties of congruent numbers. Zbl 0304.10011Stephens, N. M. 11 1975 On the number of coprime solutions of \(y^2=x^3+k\). Zbl 0303.10013Stephens, N. M. 2 1975 Numerical tables on elliptic curves. Prepared by H. P. F. Swinnerton-Dyer, N. M. Stephens, James Davenport, J. Vélu, F. B. Coghlan, A. O. L. Atkin and D. J. Tingley. Zbl 1214.11006 1 1975 On the Feit-Thompson conjecture. Zbl 0218.10003Stephens, N. M. 3 1971 The diophantine equation \(x^3 - y^2 = k\). Zbl 0217.03601Coghlan, F. B.; Stephens, N. M. 2 1971 The diophantine equation \(X^ 3 + Y^ 3 = DZ^ 3\) and the conjectures of Birch and Swinnerton-Dyer. Zbl 0221.10023Stephens, N. M. 19 1968 A corollary to a conjecture of Birch and Swinnerton-Dyer. Zbl 0155.30103Stephens, N. M. 2 1968 Conjectures concerning elliptic curves. Zbl 0168.18902Stephens, N. M. 2 1967 The parity of the rank of the Mordell-Weil group. Zbl 0146.42401Birch, B. J.; Stephens, N. M. 37 1966 all cited Publications top 5 cited Publications all top 5 Cited by 232 Authors 4 Byeon, Dongho 4 Kezuka, Yukako 3 Coates, John Henry 3 Dokchitser, Tim 3 Dokchitser, Vladimir 3 Everest, Graham Robert 3 Gezer, Betúl 3 Hone, Andrew N. W. 3 Jeong, Keunyoung 3 Motose, Kaoru 3 Rubin, Karl Cooper 3 Silverman, Joseph Hillel 3 Tzanakis, Nikos 2 Bannai, Kenichi 2 Bennett, Michael A. 2 Bizim, Osman 2 Heath-Brown, Roger 2 Ingram, Patrick 2 Kane, Daniel M. 2 Kanemitsu, Shigeru 2 Kobayashi, Shinichi 2 Koster, Arie M. C. A. 2 Mahé, Valéry 2 Mannino, Carlo 2 Mazur, Barry 2 Miyazaki, Mitsuhiro 2 Monsky, Paul 2 Ono, Ken 2 Perrin-Riou, Bernadette 2 Qiao, Youming 2 Reynolds, Jonathan 2 Sakata, Toshio 2 Sassano, Antonio 2 Serafin, Grzegorz 2 Shparlinski, Igor E. 2 Siksek, Samir 2 Smith, Derek H. 2 Stange, Katherine E. 2 Stroeker, Roelof J. 2 Ramdorai, Sujatha 2 Sumi, Toshio 2 Tate, John Torrence jun. 2 Top, Jaap 2 van Hoesel, Stan Peter Maria 2 Watkins, Mark James 2 Zimmer, Horst Günter 1 Aardal, Karen I. 1 Agboola, Adebisi 1 Akbary, Amir 1 Allen, Stuart M. 1 Bailey, Rosemary A. 1 Bandini, Andrea 1 Banerjee, Debika 1 Banerjee, Soumyarup 1 Benlic, Una 1 Bhakta, Subham 1 Bianchi, Francesca 1 Binegar, Skye 1 Bini, Dario Andrea 1 Björklund, Patrik 1 Blackburn, Simon R. 1 Bleaney, Jeff 1 Blekherman, Grigoriy 1 Brattström, Gudrun 1 Bruinier, Jan Hendrik 1 Bshouty, Nader H. 1 Buczyński, Jarosław 1 Burhanuddin, Iftikhar A. 1 Catalisano, Maria Virginia 1 Chahal, Jasbir Singh 1 Chakraborty, Kalyan 1 Chan, Stephanie 1 Chern, Bobbie 1 Chowla, Paromita 1 Chowla, Sarvadaman 1 Connell, Ian G. 1 Creutz, Brendan 1 Das, Shamik 1 de Seguins Pazzis, Clément 1 De Wannemacker, Stefan A. G. 1 Desjardins, Julie 1 Diaconis, Persi Warren 1 Diaconu, Adrian-Viorel 1 Dominick, Randy 1 Downarowicz, Tomasz 1 Eisenträger, Kirsten 1 Elliott, Peter D. T. A. 1 Evink, Tim 1 Fischetti, Matteo 1 Flynn, Eugene Victor 1 Fresán-Figueroa, Julián 1 Fujita, Yasutsugu 1 Fukaya, Takako 1 Gallardo, Luis Henri 1 Geramita, Anthony Vito 1 Gimigliano, Alessandro 1 Goldfeld, Dorian Morris 1 González-Moreno, Diego 1 Goto, Takeshi 1 Greenberg, Ralph ...and 132 more Authors all top 5 Cited in 76 Serials 19 Journal of Number Theory 10 Inventiones Mathematicae 10 Proceedings of the Japan Academy. Series A 9 Linear Algebra and its Applications 6 Transactions of the American Mathematical Society 6 Journal de Théorie des Nombres de Bordeaux 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Duke Mathematical Journal 4 Mathematische Annalen 4 Computers & Operations Research 3 Rocky Mountain Journal of Mathematics 3 Mathematics of Computation 3 Journal of Algebra 3 European Journal of Operational Research 2 Discrete Applied Mathematics 2 Mathematical Notes 2 Acta Arithmetica 2 Bulletin de la Société Mathématique de France 2 Journal of Combinatorial Theory. Series A 2 Mathematische Zeitschrift 2 Proceedings of the American Mathematical Society 2 SIAM Journal on Matrix Analysis and Applications 2 Annals of Operations Research 2 Mémoires de la Société Mathématique de France. Nouvelle Série 2 Kyushu Journal of Mathematics 2 Annals of Mathematics. Second Series 2 Bulletin de la Société Mathématique de France. Supplément. Mémoires 2 Research in Number Theory 1 Applicable Analysis 1 Bulletin of the Australian Mathematical Society 1 Discrete Mathematics 1 Linear and Multilinear Algebra 1 Psychometrika 1 Annals of the Institute of Statistical Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Compositio Mathematica 1 Computing 1 Functiones et Approximatio. Commentarii Mathematici 1 Journal of Computer and System Sciences 1 Journal of Pure and Applied Algebra 1 Journal of Soviet Mathematics 1 Manuscripta Mathematica 1 Memoirs of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Quaestiones Mathematicae 1 Theoretical Computer Science 1 European Journal of Combinatorics 1 Bulletin of the Korean Mathematical Society 1 Acta Mathematica Hungarica 1 Journal of the American Mathematical Society 1 Differential Geometry and its Applications 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the American Mathematical Society. New Series 1 Experimental Mathematics 1 Journal of Algebraic Geometry 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 The Electronic Journal of Combinatorics 1 The New York Journal of Mathematics 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Journal of Difference Equations and Applications 1 Documenta Mathematica 1 The Ramanujan Journal 1 LMS Journal of Computation and Mathematics 1 Lobachevskii Journal of Mathematics 1 Integers 1 Journal of the Australian Mathematical Society 1 Hacettepe Journal of Mathematics and Statistics 1 Discrete Optimization 1 International Journal of Number Theory 1 Algebra & Number Theory 1 Involve 1 Science China. Mathematics 1 Research in the Mathematical Sciences 1 Journal of the Japan Statistical Society. Japanese Issue 1 Journal of Numbers all top 5 Cited in 22 Fields 126 Number theory (11-XX) 54 Algebraic geometry (14-XX) 22 Linear and multilinear algebra; matrix theory (15-XX) 11 Combinatorics (05-XX) 11 Operations research, mathematical programming (90-XX) 10 Computer science (68-XX) 4 Field theory and polynomials (12-XX) 4 Group theory and generalizations (20-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Information and communication theory, circuits (94-XX) 2 Special functions (33-XX) 2 Statistics (62-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 \(K\)-theory (19-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) Citations by Year