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A hyperelliptic diophantine equation related to imaginary quadratic number fields with class number 2.

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Publication:3988354
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DOI10.1515/crll.1992.427.137zbMath0738.11032OpenAlexW2145595117MaRDI QIDQ3988354

Benjamin M. M. de Weger

Publication date: 28 June 1992

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002209519


zbMATH Keywords

imaginary quadratic fieldslinear forms in logarithmsclass number twocubic Thue equationhyperelliptic diophantine equationsixth degree diophantine equationsThue-recurrence equations


Mathematics Subject Classification ID

Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29) Higher degree equations; Fermat's equation (11D41) Linear forms in logarithms; Baker's method (11J86)


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When Newton met Diophantus: a study of rational-derived polynomials and their extension to quadratic fields. ⋮ A Thue Equation with Quadratic Integers as Variables ⋮ The Solution of Triangularly Connected Decomposable Form Equations




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