Edit Profile Zimmer, Horst Günter Compute Distance To: Compute Author ID: zimmer.horst-gunter Published as: Zimmer, H. G.; Zimmer, Horst G.; Zimmer, Horst Günter; Zimmer, Horst-Günter External Links: MGP · Wikidata · dblp · GND Documents Indexed: 58 Publications since 1970, including 6 Books Reviewing Activity: 72 Reviews all top 5 Co-Authors 24 single-authored 13 Pethő, Attila 6 Gebel, Josef 3 Folz, Helmut G. 3 Herrmann, Emanuel 3 Ströher, Harald 2 Müller, Hans H. 2 Schmitt, Susanne 2 Weis, Bosco 2 Weis, Thomas 2 Williams, Hugh Cowie 1 Abel-Hollinger, Christine S. 1 Bartz, H. 1 Böffgen, R. 1 Cantor, David Geoffrey 1 Fischer, Karl A. F. 1 Fung, Gilbert W. 1 Galyean, Paul H. 1 Lamprecht, Karin 1 Lay, Georg-Johann 1 Madan, Manohar L. 1 Pohst, Michael E. 1 Schneiders, Ursula 1 Schwarz, Wolfgang 1 Shparlinski, Igor E. 1 Stein, Andreas 1 Stein, Joachim 1 Tschöpe, Heinz M. 1 van der Poorten, Alfred J. all top 5 Serials 4 Journal für die Reine und Angewandte Mathematik 3 Journal of Number Theory 2 Mathematics of Computation 2 Archiv der Mathematik 2 Mathematische Zeitschrift 2 Mitteilungen der Mathematischen Gesellschaft in Hamburg 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Arithmetica 1 Collectanea Mathematica 1 Compositio Mathematica 1 Computing 1 Manuscripta Mathematica 1 Pacific Journal of Mathematics 1 Publicationes Mathematicae 1 SIGSAM Bulletin 1 Journal of Symbolic Computation 1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 1 International Journal of Algebra and Computation 1 Abhandlungen der Braunschweigischen Wissenschaftlichen Gesellschaft 1 Bulletin de la Société Mathématique de France. Supplément. Mémoires 1 De Gruyter Studies in Mathematics 1 Lecture Notes in Mathematics all top 5 Fields 42 Number theory (11-XX) 40 Algebraic geometry (14-XX) 4 Computer science (68-XX) 3 General and overarching topics; collections (00-XX) 3 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Numerical analysis (65-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 40 Publications have been cited 205 times in 151 Documents Cited by ▼ Year ▼ Computing integral points on elliptic curves. Zbl 0816.11019Gebel, J.; Pethö, A.; Zimmer, H. G. 26 1994 On the difference of the Weil height and the Neron-Tate height. Zbl 0303.14003Zimmer, Horst Günter 21 1976 Computational problems, methods, and results in algebraic number theory. Zbl 0231.12001Zimmer, Horst G. 18 1972 On Mordell’s equation. Zbl 0899.11013Gebel, J.; Pethö, A.; Zimmer, H. G. 12 1998 Constructing elliptic curves with given group order over large finite fields. Zbl 0833.11024Lay, Georg-Johann; Zimmer, Horst G. 11 1994 The rank of elliptic curves upon quadratic extension. Zbl 0743.14023Schneiders, U.; Zimmer, H. G. 9 1991 Elliptic curves. A computational approach. With an appendix by Attila Pethö. Zbl 1195.11078Schmitt, Susanne; Zimmer, Horst G. 7 2003 Torsion groups of elliptic curves with integral \(j\)-invariant over general cubic number fields. Zbl 0868.11030Pethö, Attila; Weis, Thomas; Zimmer, Horst G. 7 1997 Torsion groups of elliptic curves with integral j-invariant over quadratic fields. Zbl 0662.14020Müller, Hans H.; Ströher, Harald; Zimmer, Horst G. 7 1989 Quasifunctions on elliptic curves over local fields. Zbl 0399.14014Zimmer, H. G. 7 1979 Computing all \(S\)-integral points on elliptic curves. Zbl 0949.11033Pethő, Attila; Zimmer, Horst G.; Gebel, Josef; Herrmann, Emanuel 6 1999 Torsion groups of elliptic curves with integral j-invariant over pure cubic fields. Zbl 0734.14014Fung, G. W.; Ströher, H.; Williams, H. C.; Zimmer, H. G. 6 1990 Artins Theorie der quadratischen Kongruenzfunktionenkörper und ihre Anwendung auf die Berechnung der Einheiten- und Klassengruppen. (Artin’s theory of quadratic congruence function fields and their application to the calculation of unit und class groups). Zbl 0757.11046Weis, Bosco; Zimmer, Horst G. 5 1991 Computation of the Néron-Tate height on elliptic curves. Zbl 0611.14028Tschöpe, Heinz M.; Zimmer, Horst G. 5 1987 Points of finite order on elliptic curves over number fields. Zbl 0349.14014Zimmer, Horst G. 5 1976 Ein Analogon des Satzes von Nagell-Lutz über die Torsion einer elliptischen Kurve. Zbl 0305.14006Zimmer, Horst Günter 5 1974 A continued fraction algorithm for real algebraic numbers. Zbl 0258.10004Cantor, David G.; Galyean, Paul H.; Zimmer, Horst G. 5 1972 Computing the Mordell-Weil group of an elliptic curve over \(\mathbb{Q}\). Zbl 0809.14024Gebel, Josef; Zimmer, Horst G. 4 1994 An algorithm for determining the regulator and the fundamental unit of a hyperelliptic congruence function field. Zbl 0925.11054Stein, Andreas; Zimmer, Horst Günter 4 1991 What is the rank of the Demjanenko matrix ? Zbl 0624.14001Folz, H. G.; Zimmer, H. G. 3 1987 Die Néron-Tate’schen quadratischen Formen auf der rationalen Punktgruppe einer elliptischen Kurve. Zbl 0204.21402Zimmer, H. G. 3 1970 Height estimates for elliptic curves in short Weierstraß form over global fields and a comparison. Zbl 0998.11029Zimmer, Horst G.; Schmitt, Susanne 2 2001 On Fermat’s quadruple equations. Zbl 0952.11033Herrmann, E.; Pethő, A.; Zimmer, H. G. 2 1999 \(S\)-integral points on elliptic curves and Fermat’s triple equations. Zbl 0920.11086Pethő, A.; Herrmann, E.; Zimmer, H. G. 2 1998 Computing \(S\)-integral points on elliptic curves. Zbl 0899.11012Gebel, Josef; Pethő, Attila; Zimmer, Horst G. 2 1996 Torsion groups of elliptic curves over cubic and certain biquadratic number fields. Zbl 0816.11035Zimmer, Horst G. 2 1994 Relations among Iwasawa invariants. Zbl 0608.12005Madan, Manohar L.; Zimmer, Horst G. 2 1987 Zur Arithmetik der elliptischen Kurven. (Apropos of the arithmetic of the elliptic curves). Zbl 0619.14021Zimmer, Horst Günter 2 1986 Congruent numbers - from elementary to algebraic number theory. Zbl 0561.10006Zimmer, H. G. 2 1984 Correction and remarks concerning quasifunctions on elliptic curves. Zbl 0505.14036Zimmer, Horst G. 2 1983 An elementary proof of the Riemann hypothesis for an elliptic curve over a finite field. Zbl 0187.30802Zimmer, H. G. 2 1971 Computing the torsion groups of elliptic curves by the method of Gröbner bases. Zbl 0922.11050Pethö, Attila; Stein, Joachim; Weis, Thomas; Zimmer, Horst G. 1 1998 Basic algorithms for elliptic curves. Zbl 1066.11514Zimmer, Horst G. 1 1998 SIMATH - a computer algebra system for number theoretic applications. (Survey paper). Zbl 0923.11173Zimmer, Horst G. 1 1997 Computing integral points on Mordell’s elliptic curves. Zbl 0865.11084Gebel, J.; Pethö, A.; Zimmer, H. G. 1 1997 Torsion groups of elliptic curves with integral \(j\)-invariant over multiquadratic fields. Zbl 0920.11034Abel-Hollinger, Christine S.; Zimmer, Horst G. 1 1995 A limit formula for the canonical height of an elliptic curve and its application to height computations. Zbl 0738.14020Zimmer, Horst G. 1 1990 Complete determination of all torsion groups of elliptic curves with integral absolute invariant over quadratic and pure cubic fields. Zbl 0719.14021Müller, Hans H.; Ströher, Harald; Zimmer, Horst G. 1 1989 Computational aspects of the theory of elliptic curves. Zbl 0702.14029Zimmer, Horst G. 1 1989 Some computations related to torsion points on elliptic curves over number fields. Zbl 0411.14007Bartz, H.; Fischer, K.; Folz, H.; Zimmer, H. G. 1 1979 Elliptic curves. A computational approach. With an appendix by Attila Pethö. Zbl 1195.11078Schmitt, Susanne; Zimmer, Horst G. 7 2003 Height estimates for elliptic curves in short Weierstraß form over global fields and a comparison. Zbl 0998.11029Zimmer, Horst G.; Schmitt, Susanne 2 2001 Computing all \(S\)-integral points on elliptic curves. Zbl 0949.11033Pethő, Attila; Zimmer, Horst G.; Gebel, Josef; Herrmann, Emanuel 6 1999 On Fermat’s quadruple equations. Zbl 0952.11033Herrmann, E.; Pethő, A.; Zimmer, H. G. 2 1999 On Mordell’s equation. Zbl 0899.11013Gebel, J.; Pethö, A.; Zimmer, H. G. 12 1998 \(S\)-integral points on elliptic curves and Fermat’s triple equations. Zbl 0920.11086Pethő, A.; Herrmann, E.; Zimmer, H. G. 2 1998 Computing the torsion groups of elliptic curves by the method of Gröbner bases. Zbl 0922.11050Pethö, Attila; Stein, Joachim; Weis, Thomas; Zimmer, Horst G. 1 1998 Basic algorithms for elliptic curves. Zbl 1066.11514Zimmer, Horst G. 1 1998 Torsion groups of elliptic curves with integral \(j\)-invariant over general cubic number fields. Zbl 0868.11030Pethö, Attila; Weis, Thomas; Zimmer, Horst G. 7 1997 SIMATH - a computer algebra system for number theoretic applications. (Survey paper). Zbl 0923.11173Zimmer, Horst G. 1 1997 Computing integral points on Mordell’s elliptic curves. Zbl 0865.11084Gebel, J.; Pethö, A.; Zimmer, H. G. 1 1997 Computing \(S\)-integral points on elliptic curves. Zbl 0899.11012Gebel, Josef; Pethő, Attila; Zimmer, Horst G. 2 1996 Torsion groups of elliptic curves with integral \(j\)-invariant over multiquadratic fields. Zbl 0920.11034Abel-Hollinger, Christine S.; Zimmer, Horst G. 1 1995 Computing integral points on elliptic curves. Zbl 0816.11019Gebel, J.; Pethö, A.; Zimmer, H. G. 26 1994 Constructing elliptic curves with given group order over large finite fields. Zbl 0833.11024Lay, Georg-Johann; Zimmer, Horst G. 11 1994 Computing the Mordell-Weil group of an elliptic curve over \(\mathbb{Q}\). Zbl 0809.14024Gebel, Josef; Zimmer, Horst G. 4 1994 Torsion groups of elliptic curves over cubic and certain biquadratic number fields. Zbl 0816.11035Zimmer, Horst G. 2 1994 The rank of elliptic curves upon quadratic extension. Zbl 0743.14023Schneiders, U.; Zimmer, H. G. 9 1991 Artins Theorie der quadratischen Kongruenzfunktionenkörper und ihre Anwendung auf die Berechnung der Einheiten- und Klassengruppen. (Artin’s theory of quadratic congruence function fields and their application to the calculation of unit und class groups). Zbl 0757.11046Weis, Bosco; Zimmer, Horst G. 5 1991 An algorithm for determining the regulator and the fundamental unit of a hyperelliptic congruence function field. Zbl 0925.11054Stein, Andreas; Zimmer, Horst Günter 4 1991 Torsion groups of elliptic curves with integral j-invariant over pure cubic fields. Zbl 0734.14014Fung, G. W.; Ströher, H.; Williams, H. C.; Zimmer, H. G. 6 1990 A limit formula for the canonical height of an elliptic curve and its application to height computations. Zbl 0738.14020Zimmer, Horst G. 1 1990 Torsion groups of elliptic curves with integral j-invariant over quadratic fields. Zbl 0662.14020Müller, Hans H.; Ströher, Harald; Zimmer, Horst G. 7 1989 Complete determination of all torsion groups of elliptic curves with integral absolute invariant over quadratic and pure cubic fields. Zbl 0719.14021Müller, Hans H.; Ströher, Harald; Zimmer, Horst G. 1 1989 Computational aspects of the theory of elliptic curves. Zbl 0702.14029Zimmer, Horst G. 1 1989 Computation of the Néron-Tate height on elliptic curves. Zbl 0611.14028Tschöpe, Heinz M.; Zimmer, Horst G. 5 1987 What is the rank of the Demjanenko matrix ? Zbl 0624.14001Folz, H. G.; Zimmer, H. G. 3 1987 Relations among Iwasawa invariants. Zbl 0608.12005Madan, Manohar L.; Zimmer, Horst G. 2 1987 Zur Arithmetik der elliptischen Kurven. (Apropos of the arithmetic of the elliptic curves). Zbl 0619.14021Zimmer, Horst Günter 2 1986 Congruent numbers - from elementary to algebraic number theory. Zbl 0561.10006Zimmer, H. G. 2 1984 Correction and remarks concerning quasifunctions on elliptic curves. Zbl 0505.14036Zimmer, Horst G. 2 1983 Quasifunctions on elliptic curves over local fields. Zbl 0399.14014Zimmer, H. G. 7 1979 Some computations related to torsion points on elliptic curves over number fields. Zbl 0411.14007Bartz, H.; Fischer, K.; Folz, H.; Zimmer, H. G. 1 1979 On the difference of the Weil height and the Neron-Tate height. Zbl 0303.14003Zimmer, Horst Günter 21 1976 Points of finite order on elliptic curves over number fields. Zbl 0349.14014Zimmer, Horst G. 5 1976 Ein Analogon des Satzes von Nagell-Lutz über die Torsion einer elliptischen Kurve. Zbl 0305.14006Zimmer, Horst Günter 5 1974 Computational problems, methods, and results in algebraic number theory. Zbl 0231.12001Zimmer, Horst G. 18 1972 A continued fraction algorithm for real algebraic numbers. Zbl 0258.10004Cantor, David G.; Galyean, Paul H.; Zimmer, Horst G. 5 1972 An elementary proof of the Riemann hypothesis for an elliptic curve over a finite field. Zbl 0187.30802Zimmer, H. G. 2 1971 Die Néron-Tate’schen quadratischen Formen auf der rationalen Punktgruppe einer elliptischen Kurve. Zbl 0204.21402Zimmer, H. G. 3 1970 all cited Publications top 5 cited Publications all top 5 Cited by 189 Authors 8 Zimmer, Horst Günter 6 Dujella, Andrej 6 Stein, Andreas 5 Silverman, Joseph Hillel 4 Hajdu, Lajos 4 Jukić Bokun, Mirela 4 Pethő, Attila 4 Tengely, Szabolcs 4 Tzanakis, Nikos 4 Uchida, Yukihiro 4 Williams, Hugh Cowie 3 de Weger, Benjamin M. M. 3 Draziotis, Konstantinos A. 3 González-Jiménez, Enrique 3 Kovács, Tünde 3 Siksek, Samir 3 Stroeker, Roelof J. 3 Teske, Edlyn 2 Boudabra, Maher 2 Checcoli, Sara 2 Denis, Laurent 2 Frey, Gerhard 2 Gallegos-Ruiz, Homero R. 2 Győry, Kálmán 2 Herrmann, Emanuel 2 Jeon, Daeyeol 2 Katsipis, Nikos 2 Kida, Masanari 2 Kim, Chang Heon 2 Konstantinou, Elisavet 2 Kontogeorgis, Aristides I. 2 Le, Maohua 2 Lee, Yoonjin 2 Lenstra, Hendrik W. jun. 2 Luca, Florian 2 Mignotte, Maurice 2 Nitaj, Abderrahmane 2 Pintér, Ákos 2 Poulakis, Dimitrios 2 Rouse, Jeremy A. 2 Sadek, Mohammad 2 Scheidler, Renate 2 Veneziano, Francesco 2 Viada, Evelina 1 Aanderaa, Stål O. 1 Abu Muriefah, Fadwa S. 1 Adam, Brigitte 1 Aghabozorgi, Hossien 1 Aguirre Estibalez, Julián 1 Akritas, Alkivadis G. 1 Amaneh, Amiryousefi Varnousfaderani 1 Arnon, Dennis S. 1 Aspnes, James 1 Balakrishnan, Jennifer S. 1 Balasubramanian, Ramachandran 1 Barroero, Fabrizio 1 Bennett, Michael A. 1 Besser, Amnon 1 Bley, Werner 1 Boltje, Robert 1 Boyd, Colin A. 1 Bremner, Andrew 1 Bröker, Reinier 1 Buchholz, Ralph Heiner 1 Buchmann, Johannes A. 1 Call, Gregory S. 1 Cangul, Ismail Naci 1 Chen, Tzer-Shyong 1 Clark, Peter Louis 1 Cohn, Harvey 1 Cook, Brian 1 Cremona, John E. 1 Cristea, Irina 1 Daniels, Harris B. 1 Danilov, L. V. 1 David, Sinnou 1 Demirci, Musa 1 Diamadi, Zoë 1 Dill, Gabriel A. 1 El-Sissi, Nermine 1 Emiris, Ioannis Z. 1 Enge, Andreas 1 Everest, Graham Robert 1 Feng, Rongquan 1 Fhlathúin, Bríd ní 1 Fieker, Claus 1 Fontein, Felix 1 Ford, David N. 1 Fujita, Yasutsugu 1 Fung, Gilbert W. 1 Gaál, István 1 Galiev, V. I. 1 Gaudron, Éric 1 Ghadermarzi, Amir 1 Gjøsteen, Kristian 1 Goddard, Bart 1 Grant, David M. 1 Grechnikov, Evgeniy A. 1 Gunji, Hiroshi 1 Gupta, Rajiv ...and 89 more Authors all top 5 Cited in 60 Serials 29 Mathematics of Computation 22 Journal of Number Theory 9 Journal de Théorie des Nombres de Bordeaux 6 Proceedings of the Japan Academy. Series A 4 Periodica Mathematica Hungarica 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Acta Arithmetica 3 Annales de l’Institut Fourier 3 Archiv der Mathematik 3 Compositio Mathematica 3 Manuscripta Mathematica 3 International Journal of Number Theory 2 Bulletin of the Australian Mathematical Society 2 Computers & Mathematics with Applications 2 Rocky Mountain Journal of Mathematics 2 Theoretical Computer Science 2 Journal of Cryptology 2 Bulletin of the American Mathematical Society. New Series 2 Indagationes Mathematicae. New Series 2 LMS Journal of Computation and Mathematics 2 Integers 2 Journal of Applied Mathematics and Computing 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Communications in Algebra 1 Information Processing Letters 1 Mathematical Notes 1 Arkiv för Matematik 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Applied Mathematics and Computation 1 Bulletin de la Société Mathématique de France 1 Computing 1 Functiones et Approximatio. Commentarii Mathematici 1 Journal of Algebra 1 Journal of Computational and Applied Mathematics 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Transactions of the American Mathematical Society 1 Acta Mathematica Hungarica 1 Journal of Symbolic Computation 1 Journal of the American Mathematical Society 1 Science in China. Series A 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série 1 Designs, Codes and Cryptography 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Experimental Mathematics 1 Journal of Mathematical Sciences (New York) 1 The Ramanujan Journal 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Journal of the Australian Mathematical Society 1 Journal of the Institute of Mathematics of Jussieu 1 Proceedings of the Japan Academy 1 Bulletin de la Société Mathématique de France. Supplément. Mémoires 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Forum of Mathematics, Sigma 1 Prikladnaya Diskretnaya Matematika all top 5 Cited in 14 Fields 132 Number theory (11-XX) 63 Algebraic geometry (14-XX) 13 Information and communication theory, circuits (94-XX) 11 Field theory and polynomials (12-XX) 7 Computer science (68-XX) 6 Commutative algebra (13-XX) 2 Functions of a complex variable (30-XX) 2 Numerical analysis (65-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.