Work

Improved bounds for some $S$-unit equations

Year: 2024

Type: article

Abstract: The $S$-unit equation $\alpha x + \beta y = 1$ in $x,y \in \mathcal O_S^\times $ plays a very important role in Diophantine number theory. We first present the best known effective upper bounds for the solutions of this equation, obtained recently by Le F

Source: Acta Arithmetica

DOI: 10.4064/aa230530-24-8

Authors: Kálmán Győry, Samuel Le Fourn

Institutions: University of Debrecen, Centre National de la Recherche Scientifique, Institut Fourier, Université Grenoble Alpes

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funders: Austrian Science Fund, Hungarian Scientific Research Fund, Nemzeti Kutatási Fejlesztési és Innovációs Hivatal

Awards: G2335707138, G2408830363, G346381670, G5832914562, G6275162946