A note on pencils of norm-form equations

DOI10.4064/aa210329-13-12OpenAlexW3154302668MaRDI QIDQ5073904

Michael A. Bennett, Prajeet Bajpai

Publication date: 4 May 2022

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.04544

zbMATH Keywords

linear forms in logarithmsBaker's methodexponential equationnorm form equationThomas's conjecture

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16) Exponential Diophantine equations (11D61) Linear forms in logarithms; Baker's method (11J86) Multiplicative and norm form equations (11D57)

Cites Work

• On a family of cubics
• Extremal families of cubic Thue equations
• Complete solutions to a family of cubic Diophantine equations
• On families of parametrized Thue equations
• Solutions to certain families of Thue equations
• Bounded height in pencils of finitely generated subgroups
• Thomas' conjecture over function fields
• Automatic solution of families of Thue equations and an example of degree 8
• Linear forms in two logarithms and interpolation determinants II
• On a family of cubic Thue equations with 5 solutions
• PENCILS OF NORM FORM EQUATIONS AND A CONJECTURE OF THOMAS
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