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

2017/08/31 by Yann Bugeaud, Jan‐Hendrik Evertse, Jan-Hendrik Evertse +1
Mathematics · #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Meromorphic and Entire Functions

paper · doi:10.4064/aa170828-7-3

crossref issued 2018/01/01 · crossref published 2018/01/01 · crossref published-online 2018/01/01 · openalex publication_date 2018/01/01 · crossref created 2018/06/29 · crossref deposited 2018/08/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31 · crossref indexed 2026/08/01

Abstract

Let S = \p₁, … , p_s\ be a finite, non-empty set of distinct prime numbers. For a non-zero integer m, write m = p₁^a₁ … p_s^a_s b, where a₁, … , a_s are non-negative integers and b is an integer relatively prime to

Citations

• Bounds for the solutions of S-unit equations and decomposable form equations