On the length of arithmetic progressions in linear combinations of \(S\)-units

DOI10.1007/S00013-010-0111-7zbMath1220.11049OpenAlexW2012151717MaRDI QIDQ971864

Lajos Hajdu, Florian Luca

Publication date: 17 May 2010

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-010-0111-7

zbMATH Keywords

finitely generated groupsarithmetic progressionssubspace theoremS-unit equations

Mathematics Subject Classification ID

Units and factorization (11R27) Exponential Diophantine equations (11D61) Arithmetic progressions (11B25)

Related Items (3)

Representing algebraic integers as linear combinations of units ⋮ Representations of integers by powers of two primes ⋮ Representing integers as sums or differences of general power products

Cites Work

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• Small points on subvarieties of a torus
• Arithmetic progressions in the solution sets of norm form equations
• Linear equations in variables which lie in a multiplicative group
• On sums of units
• Irreducible actions.
• Approximate formulas for some functions of prime numbers

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