Number-theoretic properties of hyperelliptic fields and the torsion problem in Jacobians of hyperelliptic curves over the rational number field-Reference-Cited by-同舟云学术

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Number-theoretic properties of hyperelliptic fields and the torsion problem in Jacobians of hyperelliptic curves over the rational number field

Published:2014-02-28 Issue:1 Volume:69 Page:1-34
ISSN:0036-0279
Container-title:Russian Mathematical Surveys
language:
Short-container-title:Russ. Math. Surv.

Author:

Platonov V P

Publisher

IOP Publishing

Subject

General Mathematics

Link

http://stacks.iop.org/0036-0279/69/i=1/a=1/pdf

Cited by 39 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Continued Fractions in Hyperelliptic Fields with an Arbitrarily Long Period;Doklady Mathematics;2024-04

2. On the Sequences of Polynomials $$\boldsymbol{f}$$ with a Periodic Continued Fraction Expansion $$\sqrt{\boldsymbol{f}}$$;Moscow University Mathematics Bulletin;2024-04

3. Continued Fractions and the Classification Problem for Elliptic Fields Over Quadratic Fields of Constants;Mathematical Notes;2023-12

4. On the Finiteness of the Set of Generalized Jacobians with Nontrivial Torsion Points over Algebraic Number Fields;Doklady Mathematics;2023-10

5. New Results on the Periodicity Problem for Continued Fractions of Elements of Hyperelliptic Fields;Proceedings of the Steklov Institute of Mathematics;2023-03

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