H. Zimmer

Most-cited papers

High-pressure phase transitions in CaTe and SrTe.
H. Zimmer, H. Winzen, K. Syassen
1985Physical Review B (Condensed Matter)133 citations
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Constructing elliptic curves with given group order over large finite fields
Georg-Johann Lay, H. Zimmer
1994International Workshop on Ant Colony Optimization and Swarm Intelligence118 citations
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On the difference of the Weil height and the Néron-Tate height
H. Zimmer
197668 citations
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On Mordell's Equation
Josef Gebel, A. Pethö, H. Zimmer
1998Compositio Mathematica57 citations Open access
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Computational problems, methods, and results in algebraic number theory
H. Zimmer
197254 citations
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Insulator-metal transition and valence instability in EuO near 130 kbar
H. Zimmer, K. Takemura, K. Syassen, K. Fischer
198450 citations
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On the Analogue of the Division Polynomials for Hyperelliptic Curves
J. Buchmann, H. Niederreiter, A. Odlyzko, H. Zimmer
201243 citations
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Elliptic Curves : A Computational Approach
S. Schmitt, H. Zimmer
200841 citations
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S-integer points on elliptic curves, theory and practice
A. Pethö, H. Zimmer
200037 citations
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Computing all S-integral points on elliptic curves
Attila Pethöl, H. Zimmer, Josef Gebel, E. Herrmann
1997Mathematical Proceedings of the Cambridge Philosophical Society35 citations Open access
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Optical response of YbS and YbO at high pressures and the pressure-volume relation of YbS.
K. Syassen, H. Winzen, H. Zimmer, H. Tups +1 more
1985Physical Review B (Condensed Matter)35 citations
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Computing the Mordell-Weil group of an elliptic curve over ℚ
Josef Gebel, H. Zimmer
199424 citations
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Torsion groups of elliptic curves with integral j-invariant over pure cubic fields
G.-W. Fung, H. Ströher, H. Williams, H. Zimmer
199020 citations Open access
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A continued fraction algorithm for real algebraic numbers
D. Cantor, P. Galyean, H. Zimmer
197220 citations Open access
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Torsion Groups of Elliptic Curves with Integral j-Invariant over General Cubic Number Fields
A. Pethö, T. Weis, H. Zimmer
1997International journal of algebra and computation19 citations
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Computing integral points on Mordell's elliptic curves
H. Zimmer, A. Pethö, J. Grebel
199716 citations
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An algorithm for determining the regulator and the fundamental unit of hyperelliptic congruence function field
A. Stein, H. Zimmer
1991International Symposium on Symbolic and Algebraic Computation16 citations Open access
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Computing S-Integral Points on Elliptic Curves
Josef Gebel, A. Pethö, H. Zimmer
1996International Workshop on Ant Colony Optimization and Swarm Intelligence14 citations
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Computation of the Néron-Tate height on elliptic curves
Heinz M. Tschöpe, H. Zimmer
198712 citations Open access
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Quasifunctions on elliptic curves over local fields.
H. Zimmer
197911 citations
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On fermat’s quadruple equations
E. Herrmann, A. Pethǒ, H. Zimmer
199910 citations Open access
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Computational number theory : proceedings of the Colloquium on Computational Number Theory held at Kossuth Lajos University, Debrecen (Hungary), September 4-9, 1989
A. Pethö, M. Pohst, H. Williams, H. Zimmer
199110 citations
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Number Theoretic and Algebraic Methods in Computer Science: Proceedings of the International Conference
A. J. van der Poorten, I. Shparlinski, H. Zimmer
19958 citations
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A Limit Formula for the Canonical Height of an Elliptic Curve and its Application to Height Computations
H. Zimmer, R. Mollin
19908 citations
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Points of finite order on elliptic curves over number fields
H. Zimmer
19767 citations
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An elementary proof of the Riemann hypothesis for an elliptic curve over a finite field.
H. Zimmer
19717 citations Open access
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Complete determination of all torsion groups of elliptic curves with integral absolute invariant over quadratic and pure cubic fields
H. Müller, H. Stroher, H. Zimmer
19896 citations
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What is the Rank of the Demjanenko Matrix?
H. Folz, H. Zimmer
1987Journal of symbolic computation6 citations Open access
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SIMATH—a computer algebra system for number theoretic applications
H. Zimmer
1997International Symposium on Symbolic and Algebraic Computation4 citations Open access
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Relations among Iwasawa invariants
M. Madan, H. Zimmer
19874 citations Open access
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Generalization of Manin's conditional algorithm
H. Zimmer
1976Symposium on Symbolic and Algebraic Manipulation4 citations Open access
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Computers and computations in algebraic number theory
H. Zimmer
1971Symposium on Symbolic and Algebraic Manipulation4 citations Open access
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Basic algorithms for elliptic curves
H. Zimmer
19983 citations
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S-integral Points on Elliptic Curves and Fermat's Triple Equations
A. Pethö, E. Herrmann, H. Zimmer
1998International Workshop on Ant Colony Optimization and Swarm Intelligence3 citations
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Correction and remarks concerning quasifunctions on elliptic curves.
H. Zimmer
19833 citations
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On Manin's conditional algorithm
H. Zimmer
19773 citations Open access
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Height estimates for elliptic curves in short Weierstraß form over global fields and a comparison
H. Zimmer, S. Schmitt
20012 citations
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On a system of norm-equations over cyclic cubic number fields
A. Pethö, H. Zimmer
1998Publicationes mathematicae (Debrecen)2 citations Open access
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Computing the Torsion Group of Elliptic Curves by the Method of Gröbner Bases
A. Pethö, J. Stein, T. Weis, H. Zimmer
19982 citations
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Torsion points on elliptic curves over a global field
H. Zimmer
19792 citations
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Stickelberger ideal and signature of circular units
W. Schwarz, H. Zimmer
19961 citations
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Congruent numbers: from elementary to algebraic number theory
H. Zimmer
1984SIGS1 citations
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Some computations relating to torsion points on elliptic curves over number fields
H. Bartz, K. Fischer, H. Folz, H. Zimmer
1979Symbolic and Algebraic Computation1 citations
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Chapter 7. The rank
A. Pethö, S. Schmitt, H. Zimmer
20030 citations
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Chapter 5. The Mordell-Weil theorem and heights
A. Pethö, S. Schmitt, H. Zimmer
20030 citations
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Chapter 9. S-integral points
A. Pethö, S. Schmitt, H. Zimmer
20030 citations
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Chapter 1. Elliptic curves
A. Pethö, S. Schmitt, H. Zimmer
20030 citations
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Chapter 8. Basis
A. Pethö, S. Schmitt, H. Zimmer
20030 citations
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Chapter 3. Elliptic curves over finite fields
A. Pethö, S. Schmitt, H. Zimmer
20030 citations
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Appendix A. Algorithmic theory of diophantine equations
A. Pethö, S. Schmitt, H. Zimmer
20030 citations
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