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

2019/01/31 by Győry, Kálmán · 1 citation
#11D57 #11D59 #11D61 #11J86 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1901.11289

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.

Cited by

• Decidability of multiplicative matrix equations and related Diophantine problems

Related

• On finding many solutions to S-unit equations by solving linear equations on average
• Asymptotic estimates for the number of integer solutions to decomposable form inequalities
• On the number of solutions of decomposable form inequalities
• Counting solvable S-unit equations
• Integer solutions of a sequence of decomposable form inequalities