$S$-parts of values of univariate polynomials,\\ binary forms and decomposable forms at integral points

DOI10.4064/aa170828-7-3zbMath1410.11025arXiv1708.08290OpenAlexW2963314630MaRDI QIDQ4581958

Yann Bugeaud, Kálmán Győry, Jan-Hendrik Evertse

Publication date: 21 August 2018

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.08290

zbMATH Keywords

polynomialsbinary formssubspace theoremdecomposable formsBaker theoryS-part

Mathematics Subject Classification ID

Thue-Mahler equations (11D59) Counting solutions of Diophantine equations (11D45) Linear forms in logarithms; Baker's method (11J86) Multiplicative and norm form equations (11D57) Schmidt Subspace Theorem and applications (11J87)

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\(S\)-parts of sums of terms of linear recurrence sequences, ‐PARTS OF TERMS OF INTEGER LINEAR RECURRENCE SEQUENCES, Effective simultaneous rational approximation to pairs of real quadratic numbers, On the digital representation of integers with bounded prime factors, \(S\)-parts of values of univariate polynomials

Cites Work

• On the approximation of algebraic numbers. III: On the average numbers of representations of large numbers by binary forms
• An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
• On discriminants and indices of integers of an algebraic number field.
• On the Number of Solutions of Polynomial Congruences and Thue Equations
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