Pairs of cyclic cubic units with rational difference

DOI10.1142/S1793042125500034MaRDI QIDQ6658785

Toru Komatsu

Publication date: 8 January 2025

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

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Mathematics Subject Classification ID

Units and factorization (11R27) Cubic and quartic extensions (11R16) Cubic and quartic Diophantine equations (11D25)

Cites Work

• Title not available (Why is that?)
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• On correspondence between solutions of a family of cubic Thue equations and isomorphism classes of the simplest cubic fields
• On equations in S-units and the Thue-Mahler equation
• On totally real cubic fields whose unit groups are of type \(\{\theta + r,\theta + s\}\)
• The characterization of cyclic cubic fields with power integral bases
• The equation x+y=1 in finitely generated groups
• Class Numbers of the Simplest Cubic Fields
• The Simplest Cubic Fields
• Normal integral bases and Gaussian periods in the simplest cubic fields

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