Many solutions to the \(S\)-unit equation \(a+1=c\)

DOI10.1007/S10474-019-00948-ZzbMATH Open1449.11061arXiv1902.07397OpenAlexW2963262391MaRDI QIDQ2300119

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Publication date: 26 February 2020

Published in: (Search for Journal in Brave)

Abstract: We show that there are arbitrarily large sets $S$ of $s$ primes for which the number of solutions to $a+1=c$ where all prime factors of $ac$ lie in $S$ has $ggexp(s^{1/4}/logs)$ solutions.

Full work available at URL: https://arxiv.org/abs/1902.07397

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