Year: 2020
Type: article
Abstract: We study the three-variable unit equation $x + y + z = 1$ to be solved in $x, y, z \in \mathcal {O}_S^\ast $, where $\mathcal {O}_S^\ast $ is the $S$-unit group of some global function field. We give upper bounds for the height of solutions and the number
Source: Acta Arithmetica
Authors: Peter Koymans, Carlo Pagano
Institutions: Leiden University, Max Planck Institute for Mathematics
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2805510707