On the maximal length of two sequences of integers in arithmetic progressions with the same prime divisors

DOI10.1007/BF01308722zbMath0859.11012OpenAlexW2025685969MaRDI QIDQ1915334

Michel Langevin, Michel Waldschmidt, R. Balasubramanian, Tarlok N. Shorey

Publication date: 9 April 1997

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178727

zbMATH Keywords

prime divisorslinear forms in logarithms\(abc\)-conjecturearithmetic progressionsgreatest squarefree divisormaximal length of sequences

Mathematics Subject Classification ID

Distribution of integers with specified multiplicative constraints (11N25) Arithmetic progressions (11B25) Linear forms in logarithms; Baker's method (11J86)

Related Items (2)

Arithmetic Properties of Blocks of Consecutive Integers ⋮ The Woods-Erdős conjecture for polynomial rings

Cites Work

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• On the maximal length of two sequences of consecutive integers with the same prime divisors
• Explicit upper bounds for the solutions of some diophantine equations

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