The number of solutions of the Thue-Mahler equation.

DOI10.1515/crll.1997.482.121zbMath0861.11021OpenAlexW4239377039MaRDI QIDQ5690186

Jan-Hendrik Evertse

Publication date: 12 May 1997

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=GDZPPN002214296

zbMATH Keywords

upper boundbinary formgap principlediophantine inequalitiesThue-Siegel methodgroup of \(S\)-unitsabsolute Weil heightcoset of solutionsThue-Mahler equation over an algebraic number field

Mathematics Subject Classification ID

Diophantine inequalities (11D75) Exponential Diophantine equations (11D61) Higher degree equations; Fermat's equation (11D41)

Related Items (7)

Bounds for preperiodic points for maps with good reduction ⋮ Descent for the punctured universal elliptic curve, and the average number of integral points on elliptic curves ⋮ On finiteness of odd superperfect numbers ⋮ A modular approach to cubic Thue-Mahler equations ⋮ On the prime factors of the iterates of the Ramanujan τ–function ⋮ On the number of solutions in algebraic integers of the Thue-Mahler equation ⋮ Mahler's work on Diophantine equations and subsequent developments

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