An isoperimetric inequality related to Thue’s equation

DOI10.1090/S0273-0979-1994-00517-8zbMath0816.11025arXivmath/9410213OpenAlexW1983565018MaRDI QIDQ4310798

Michael A. Bean

Publication date: 23 July 1995

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9410213

zbMATH Keywords

areaisoperimetric inequalityThue inequalityThue equationreal affine plane

Mathematics Subject Classification ID

Diophantine inequalities (11D75) Diophantine inequalities (11J25) Length, area and volume in real or complex geometry (51M25)

Related Items (3)

The practical computation of areas associated with binary quartic forms ⋮ Binary forms, equiangular polygons and harmonic measure ⋮ Binary Forms, Hypergeometric Functions and the Schwarz-Christoffel Mapping Formula

Cites Work

• Thue's equation and a conjecture of Siegel
• Diophantine approximations and diophantine equations
• On the Newton polygon
• On the approximation of algebraic numbers. III: On the average numbers of representations of large numbers by binary forms
• The number of solutions to cubic Thue inequalities
• Binary Forms, Hypergeometric Functions and the Schwarz-Christoffel Mapping Formula
• Isoperimetric Inequalities for Volumes Associated with Decomposable Forms
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