Bounds for the solutions of $S$-unit equations and decomposable form equations. II

Kálmán Győry

2019/94/3-4 (18) — DOI: 10.5486/PMD.2019.8557 — pp. 507-526

Bounds for the solutions of $S$-unit equations and decomposable form equations. II

Authors: Kálmán Győry

Abstract:

In this paper we improve upon in terms of $S$ the best known effective upper bounds for the solutions of $S$-unit equations and decomposable form equations.

Keywords: $S$-unit equations, decomposable form equations, Thue-equations, Baker's theory of logarithmic forms

Mathematics Subject Classification: 11D61, 11D57, 11D59, 11J86