Diophantine transference principle over function fields
Number Theory
2024-11-20 v2
Abstract
We study the Diophantine transference principle over function fields. By adapting the approach of Beresnevich and Velani to the function field set-up, we extend many results from homogeneous Diophantine approximation to the realm of inhomogeneous Diophantine approximation over function fields. This also yields the inhomogeneous Baker-Sprindzuk conjecture over function fields as a consequence. Furthermore, we prove the upper bounds for the general non-extremal scenario.
Keywords
Cite
@article{arxiv.2312.00419,
title = {Diophantine transference principle over function fields},
author = {Sourav Das and Arijit Ganguly},
journal= {arXiv preprint arXiv:2312.00419},
year = {2024}
}