On a family of unit equations over simplest cubic fields

DOI10.5802/jtnb.1223OpenAlexW3159381733MaRDI QIDQ2684402

Volker Ziegler, Ingrid Vukusic

Publication date: 16 February 2023

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.12514

zbMATH Keywords

Diophantine equationsunit equationssimplest cubic fields

Mathematics Subject Classification ID

Diophantine inequalities (11D75) Exponential Diophantine equations (11D61) Linear forms in logarithms; Baker's method (11J86)

Uses Software

• Magma
• SageMath

Cites Work

• Unnamed Item
• Verification of a conjecture of E. Thomas
• A family of Thue equations involving powers of units of the simplest cubic fields
• Complete solutions to a family of cubic Diophantine equations
• The Magma algebra system. I: The user language
• Integral Points on Elliptic Curves Defined by Simplest Cubic Fields
• Linear forms in two logarithms and interpolation determinants II
• The Simplest Cubic Fields

This page was built for publication: On a family of unit equations over simplest cubic fields