Greatest common divisors of analytic functions and Nevanlinna theory on algebraic tori

DOI10.1515/crelle-2019-0033zbMath1454.14070arXiv1903.03876OpenAlexW2984769197WikidataQ126791487 ScholiaQ126791487MaRDI QIDQ2209450

Aaron Levin, Julie Tzu-Yueh Wang

Publication date: 2 November 2020

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.03876

zbMATH Keywords

counting functioncommon zerosalgebraic torimeromorphic functions

Mathematics Subject Classification ID

Recurrences (11B37) Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Diophantine inequalities (11J25) Global ground fields in algebraic geometry (14G25) Nevanlinna theory; growth estimates; other inequalities of several complex variables (32A22) Value distribution theory in higher dimensions (32H30)

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Greatest common divisors of integral points of numerically equivalent divisors ⋮ On the Skolem problem and some related questions for parametric families of linear recurrence sequences ⋮ Divisibility of polynomials and degeneracy of integral points ⋮ Greatest common divisors with moving targets and consequences for linear recurrence sequences ⋮ On Pisot's \(d\)-th root conjecture for function fields and related GCD estimates ⋮ On the \(d\)th roots of exponential polynomials and related problems arising from the Green-Griffiths-Lang conjecture

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