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Zimmer, Horst Günter

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Author ID: zimmer.horst-gunter Recent zbMATH articles by "Zimmer, Horst Günter"
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

Publications by Year

Citations contained in zbMATH

40 Publications have been cited 205 times in 151 Documents Cited by Year
Computing integral points on elliptic curves. Zbl 0816.11019
Gebel, J.; Pethö, A.; Zimmer, H. G.
26
1994
On the difference of the Weil height and the Neron-Tate height. Zbl 0303.14003
Zimmer, Horst Günter
21
1976
Computational problems, methods, and results in algebraic number theory. Zbl 0231.12001
Zimmer, Horst G.
18
1972
On Mordell’s equation. Zbl 0899.11013
Gebel, J.; Pethö, A.; Zimmer, H. G.
12
1998
Constructing elliptic curves with given group order over large finite fields. Zbl 0833.11024
Lay, Georg-Johann; Zimmer, Horst G.
11
1994
The rank of elliptic curves upon quadratic extension. Zbl 0743.14023
Schneiders, U.; Zimmer, H. G.
9
1991
Elliptic curves. A computational approach. With an appendix by Attila Pethö. Zbl 1195.11078
Schmitt, Susanne; Zimmer, Horst G.
7
2003
Torsion groups of elliptic curves with integral \(j\)-invariant over general cubic number fields. Zbl 0868.11030
Pethö, Attila; Weis, Thomas; Zimmer, Horst G.
7
1997
Torsion groups of elliptic curves with integral j-invariant over quadratic fields. Zbl 0662.14020
Müller, Hans H.; Ströher, Harald; Zimmer, Horst G.
7
1989
Quasifunctions on elliptic curves over local fields. Zbl 0399.14014
Zimmer, H. G.
7
1979
Computing all \(S\)-integral points on elliptic curves. Zbl 0949.11033
Pethő, Attila; Zimmer, Horst G.; Gebel, Josef; Herrmann, Emanuel
6
1999
Torsion groups of elliptic curves with integral j-invariant over pure cubic fields. Zbl 0734.14014
Fung, 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 0757.11046
Weis, Bosco; Zimmer, Horst G.
5
1991
Computation of the Néron-Tate height on elliptic curves. Zbl 0611.14028
Tschöpe, Heinz M.; Zimmer, Horst G.
5
1987
Points of finite order on elliptic curves over number fields. Zbl 0349.14014
Zimmer, Horst G.
5
1976
Ein Analogon des Satzes von Nagell-Lutz über die Torsion einer elliptischen Kurve. Zbl 0305.14006
Zimmer, Horst Günter
5
1974
A continued fraction algorithm for real algebraic numbers. Zbl 0258.10004
Cantor, David G.; Galyean, Paul H.; Zimmer, Horst G.
5
1972
Computing the Mordell-Weil group of an elliptic curve over \(\mathbb{Q}\). Zbl 0809.14024
Gebel, Josef; Zimmer, Horst G.
4
1994
An algorithm for determining the regulator and the fundamental unit of a hyperelliptic congruence function field. Zbl 0925.11054
Stein, Andreas; Zimmer, Horst Günter
4
1991
What is the rank of the Demjanenko matrix ? Zbl 0624.14001
Folz, H. G.; Zimmer, H. G.
3
1987
Die Néron-Tate’schen quadratischen Formen auf der rationalen Punktgruppe einer elliptischen Kurve. Zbl 0204.21402
Zimmer, H. G.
3
1970
Height estimates for elliptic curves in short Weierstraß form over global fields and a comparison. Zbl 0998.11029
Zimmer, Horst G.; Schmitt, Susanne
2
2001
On Fermat’s quadruple equations. Zbl 0952.11033
Herrmann, E.; Pethő, A.; Zimmer, H. G.
2
1999
\(S\)-integral points on elliptic curves and Fermat’s triple equations. Zbl 0920.11086
Pethő, A.; Herrmann, E.; Zimmer, H. G.
2
1998
Computing \(S\)-integral points on elliptic curves. Zbl 0899.11012
Gebel, Josef; Pethő, Attila; Zimmer, Horst G.
2
1996
Torsion groups of elliptic curves over cubic and certain biquadratic number fields. Zbl 0816.11035
Zimmer, Horst G.
2
1994
Relations among Iwasawa invariants. Zbl 0608.12005
Madan, Manohar L.; Zimmer, Horst G.
2
1987
Zur Arithmetik der elliptischen Kurven. (Apropos of the arithmetic of the elliptic curves). Zbl 0619.14021
Zimmer, Horst Günter
2
1986
Congruent numbers - from elementary to algebraic number theory. Zbl 0561.10006
Zimmer, H. G.
2
1984
Correction and remarks concerning quasifunctions on elliptic curves. Zbl 0505.14036
Zimmer, Horst G.
2
1983
An elementary proof of the Riemann hypothesis for an elliptic curve over a finite field. Zbl 0187.30802
Zimmer, H. G.
2
1971
Computing the torsion groups of elliptic curves by the method of Gröbner bases. Zbl 0922.11050
Pethö, Attila; Stein, Joachim; Weis, Thomas; Zimmer, Horst G.
1
1998
Basic algorithms for elliptic curves. Zbl 1066.11514
Zimmer, Horst G.
1
1998
SIMATH - a computer algebra system for number theoretic applications. (Survey paper). Zbl 0923.11173
Zimmer, Horst G.
1
1997
Computing integral points on Mordell’s elliptic curves. Zbl 0865.11084
Gebel, J.; Pethö, A.; Zimmer, H. G.
1
1997
Torsion groups of elliptic curves with integral \(j\)-invariant over multiquadratic fields. Zbl 0920.11034
Abel-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 0738.14020
Zimmer, Horst G.
1
1990
Complete determination of all torsion groups of elliptic curves with integral absolute invariant over quadratic and pure cubic fields. Zbl 0719.14021
Müller, Hans H.; Ströher, Harald; Zimmer, Horst G.
1
1989
Computational aspects of the theory of elliptic curves. Zbl 0702.14029
Zimmer, Horst G.
1
1989
Some computations related to torsion points on elliptic curves over number fields. Zbl 0411.14007
Bartz, H.; Fischer, K.; Folz, H.; Zimmer, H. G.
1
1979
Elliptic curves. A computational approach. With an appendix by Attila Pethö. Zbl 1195.11078
Schmitt, Susanne; Zimmer, Horst G.
7
2003
Height estimates for elliptic curves in short Weierstraß form over global fields and a comparison. Zbl 0998.11029
Zimmer, Horst G.; Schmitt, Susanne
2
2001
Computing all \(S\)-integral points on elliptic curves. Zbl 0949.11033
Pethő, Attila; Zimmer, Horst G.; Gebel, Josef; Herrmann, Emanuel
6
1999
On Fermat’s quadruple equations. Zbl 0952.11033
Herrmann, E.; Pethő, A.; Zimmer, H. G.
2
1999
On Mordell’s equation. Zbl 0899.11013
Gebel, J.; Pethö, A.; Zimmer, H. G.
12
1998
\(S\)-integral points on elliptic curves and Fermat’s triple equations. Zbl 0920.11086
Pethő, A.; Herrmann, E.; Zimmer, H. G.
2
1998
Computing the torsion groups of elliptic curves by the method of Gröbner bases. Zbl 0922.11050
Pethö, Attila; Stein, Joachim; Weis, Thomas; Zimmer, Horst G.
1
1998
Basic algorithms for elliptic curves. Zbl 1066.11514
Zimmer, Horst G.
1
1998
Torsion groups of elliptic curves with integral \(j\)-invariant over general cubic number fields. Zbl 0868.11030
Pethö, Attila; Weis, Thomas; Zimmer, Horst G.
7
1997
SIMATH - a computer algebra system for number theoretic applications. (Survey paper). Zbl 0923.11173
Zimmer, Horst G.
1
1997
Computing integral points on Mordell’s elliptic curves. Zbl 0865.11084
Gebel, J.; Pethö, A.; Zimmer, H. G.
1
1997
Computing \(S\)-integral points on elliptic curves. Zbl 0899.11012
Gebel, Josef; Pethő, Attila; Zimmer, Horst G.
2
1996
Torsion groups of elliptic curves with integral \(j\)-invariant over multiquadratic fields. Zbl 0920.11034
Abel-Hollinger, Christine S.; Zimmer, Horst G.
1
1995
Computing integral points on elliptic curves. Zbl 0816.11019
Gebel, J.; Pethö, A.; Zimmer, H. G.
26
1994
Constructing elliptic curves with given group order over large finite fields. Zbl 0833.11024
Lay, Georg-Johann; Zimmer, Horst G.
11
1994
Computing the Mordell-Weil group of an elliptic curve over \(\mathbb{Q}\). Zbl 0809.14024
Gebel, Josef; Zimmer, Horst G.
4
1994
Torsion groups of elliptic curves over cubic and certain biquadratic number fields. Zbl 0816.11035
Zimmer, Horst G.
2
1994
The rank of elliptic curves upon quadratic extension. Zbl 0743.14023
Schneiders, 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 0757.11046
Weis, Bosco; Zimmer, Horst G.
5
1991
An algorithm for determining the regulator and the fundamental unit of a hyperelliptic congruence function field. Zbl 0925.11054
Stein, Andreas; Zimmer, Horst Günter
4
1991
Torsion groups of elliptic curves with integral j-invariant over pure cubic fields. Zbl 0734.14014
Fung, 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 0738.14020
Zimmer, Horst G.
1
1990
Torsion groups of elliptic curves with integral j-invariant over quadratic fields. Zbl 0662.14020
Müller, 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 0719.14021
Müller, Hans H.; Ströher, Harald; Zimmer, Horst G.
1
1989
Computational aspects of the theory of elliptic curves. Zbl 0702.14029
Zimmer, Horst G.
1
1989
Computation of the Néron-Tate height on elliptic curves. Zbl 0611.14028
Tschöpe, Heinz M.; Zimmer, Horst G.
5
1987
What is the rank of the Demjanenko matrix ? Zbl 0624.14001
Folz, H. G.; Zimmer, H. G.
3
1987
Relations among Iwasawa invariants. Zbl 0608.12005
Madan, Manohar L.; Zimmer, Horst G.
2
1987
Zur Arithmetik der elliptischen Kurven. (Apropos of the arithmetic of the elliptic curves). Zbl 0619.14021
Zimmer, Horst Günter
2
1986
Congruent numbers - from elementary to algebraic number theory. Zbl 0561.10006
Zimmer, H. G.
2
1984
Correction and remarks concerning quasifunctions on elliptic curves. Zbl 0505.14036
Zimmer, Horst G.
2
1983
Quasifunctions on elliptic curves over local fields. Zbl 0399.14014
Zimmer, H. G.
7
1979
Some computations related to torsion points on elliptic curves over number fields. Zbl 0411.14007
Bartz, H.; Fischer, K.; Folz, H.; Zimmer, H. G.
1
1979
On the difference of the Weil height and the Neron-Tate height. Zbl 0303.14003
Zimmer, Horst Günter
21
1976
Points of finite order on elliptic curves over number fields. Zbl 0349.14014
Zimmer, Horst G.
5
1976
Ein Analogon des Satzes von Nagell-Lutz über die Torsion einer elliptischen Kurve. Zbl 0305.14006
Zimmer, Horst Günter
5
1974
Computational problems, methods, and results in algebraic number theory. Zbl 0231.12001
Zimmer, Horst G.
18
1972
A continued fraction algorithm for real algebraic numbers. Zbl 0258.10004
Cantor, 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 0187.30802
Zimmer, H. G.
2
1971
Die Néron-Tate’schen quadratischen Formen auf der rationalen Punktgruppe einer elliptischen Kurve. Zbl 0204.21402
Zimmer, H. G.
3
1970
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

Citations by Year

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