Another 𝑆-unit variant of Diophantine tuples

DOI10.1090/proc/15193zbMath1465.11087arXiv1910.09285OpenAlexW3034012001MaRDI QIDQ5146532

Sebastian Heintze, Clemens Fuchs

Publication date: 26 January 2021

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

Full work available at URL: https://arxiv.org/abs/1910.09285

zbMATH Keywords

\(S\)-unitsDiophantine tuplesgcd in number fields

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61) Schmidt Subspace Theorem and applications (11J87)

Cites Work

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• On the greatest prime factor of (𝑎𝑏+1)(𝑎𝑐+1)
• Primary cyclotomic units and a proof of Catalans conjecture
• On the number of prime factors of integers of the form ab + 1
• S-Diophantine quadruples with S = {2, q}
• On the equation $y^m=f(x)$

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