A Note on the Field Isomorphism Problem of X3+sX+s and Related Cubic Thue Equations

Akinari HOSHI; Katsuya MIYAKE

doi:10.4036/iis.2010.45

Interdisciplinary Information Sciences

Online ISSN : 1347-6157
Print ISSN : 1340-9050
ISSN-L : 1340-9050

Special Section: Japan-Korea Joint Seminar on Number Theory and Related Topics 2008

A Note on the Field Isomorphism Problem of X³+sX+s and Related Cubic Thue Equations

Akinari HOSHI, Katsuya MIYAKE

著者情報

キーワード: Field isomorphism problem, generic polynomial, cubic Thue equations

ジャーナルフリー

2010 年 16 巻 1 号 p. 45-54

DOI https://doi.org/10.4036/iis.2010.45

詳細

抄録

We study the field isomorphism problem of cubic generic polynomial X³+sX+s over the field of rational numbers with the specialization of the parameter s to nonzero rational integers m via primitive solutions to the family of cubic Thue equations x³−2mx²y−9mxy²−m(2m+27)y³=λ where λ² is a divisor of m³(4m+27)⁵.

著者関連情報

This article is licensed under a Creative Commons [Attribution 4.0 International] license.
https://creativecommons.org/licenses/by/4.0/

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