On Pisot's \(d\)-th root conjecture for function fields and related GCD estimates

DOI10.1016/j.jnt.2021.05.010zbMath1477.14046arXiv2010.01896OpenAlexW3176984624WikidataQ113870355 ScholiaQ113870355MaRDI QIDQ2239163

Chia-Liang Sun, Ji Guo, Julie Tzu-Yueh Wang

Publication date: 3 November 2021

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.01896

zbMATH Keywords

function fieldslinear recurrencesGCD estimatesPisot's \(d\)-th root conjecture

Mathematics Subject Classification ID

Recurrences (11B37) Exponential Diophantine equations (11D61) Algebraic functions and function fields in algebraic geometry (14H05)

Cites Work

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• A proof of Pisot's \(d\)th root conjecture
• Greatest common divisors of analytic functions and Nevanlinna theory on algebraic tori
• Vanishing sums in function fields
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• Level curves of rational functions and unimodular points on rational curves
• Extensions of Buchi's Higher Powers Problem to Positive Characteristic
• Some cases of Vojta’s conjecture on integral points over function fields

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