On the parametrization of hyperelliptic fields with \(S\)-units of degrees 7 and 9
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Publication:2090545
DOI10.1134/S0001434622090139MaRDI QIDQ2090545
V. S. Zhgoon, G. V. Fedorov, M. M. Petrunin, Yuriĭ N. Shteĭnikov
Publication date: 25 October 2022
Published in: Mathematical Notes (Search for Journal in Brave)
Arithmetic theory of algebraic function fields (11R58) Units and factorization (11R27) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Continued fractions and generalizations (11J70)
Cites Work
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- Proof of the Faugère criterion for the F5 algorithm
- On periodicity of continued fractions in hyperelliptic function fields
- Direct methods for primary decomposition
- On the periodicity problem for the continued fraction expansion of elements of hyperelliptic fields with fundamental \(S\)-units of degree at most 11
- On the finiteness of the number of expansions into a continued fraction of \( \sqrt f\) for cubic polynomials over algebraic number fields
- Groups of \(S\)-units and the problem of periodicity of continued fractions in hyperelliptic fields
- Universal Bounds on the Torsion of Elliptic Curves
- On continued fractions and diophantine approximation in power series fields
- On the problem of periodicity of continued fractions in hyperelliptic fields
- Number-theoretic properties of hyperelliptic fields and the torsion problem in Jacobians of hyperelliptic curves over the rational number field
- On the problem of periodicity of continued fraction expansions of for cubic polynomials over algebraic number fields
- On the problem of classification of periodic continued fractions in hyperelliptic fields
- Constructing elliptic curves over finite fields with prescribed torsion
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