A problem of Erdős–Graham–Granville–Selfridge on integral points on hyperelliptic curves

DOI10.1017/s0305004123000488arXiv2211.12467OpenAlexW4387368050MaRDI QIDQ6198124

Alexandru Zaharescu, Kyle Pratt, Hung Manh Bui

Publication date: 20 February 2024

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

Full work available at URL: https://arxiv.org/abs/2211.12467

Mathematics Subject Classification ID

Higher degree equations; Fermat's equation (11D41) Distribution of integers with specified multiplicative constraints (11N25)

Cites Work

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• On sharp transitions in making squares
• On the number of positive integers \(\leq x\) and free of prime factors \(>y\)
• Finiteness theorems for abelian varieties over number fields.
• Integers without large prime factors
• Product of integers in an interval, modulo squares
• Statistical properties of friable integers
• Effective results for hyper- and superelliptic equations over number fields
• Unsolved problems in number theory

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