On correspondence between solutions of a family of cubic Thue equations and isomorphism classes of the simplest cubic fields-Reference-Cited by-同舟云学术

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On correspondence between solutions of a family of cubic Thue equations and isomorphism classes of the simplest cubic fields

Published:2011-11 Issue:11 Volume:131 Page:2135-2150
ISSN:0022-314X
Container-title:Journal of Number Theory
language:en
Short-container-title:Journal of Number Theory

Author:

Hoshi Akinari

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference35 articles.

1. The Decomposition of Primes in Torsion Point Fields;Adelmann,2001

2. Cubic Thue equations;Akhtari;Publ. Math. Debrecen,2009

3. Solving Thue equations of high degree;Bilu;J. Number Theory,1998

4. The Magma algebra system. I. The user language;Bosma;J. Symbolic Comput.,1997

5. Automorphism polynomials in cyclic cubic extensions;Chapman;J. Number Theory,1996

Cited by 10 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. The ring of finite algebraic numbers and its application to the law of decomposition of primes;Journal of Number Theory;2024-10

2. Pairs of cyclic cubic units with rational difference;International Journal of Number Theory;2024-08-14

3. Universal Quadratic Forms, Small Norms, and Traces in Families of Number Fields;International Mathematics Research Notices;2022-03-30

4. The characterization of cyclic cubic fields with power integral bases;Kodai Mathematical Journal;2021-06-30

5. A generalization of simplest number fields and their integral basis;Acta Mathematica Hungarica;2020-11-28

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