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arXiv · 2312.00419

Diophantine transference principle over function fields

Sourav Das·Arijit Ganguly
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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.

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Sourav Das, Arijit Ganguly. 2023-12-01. Diophantine transference principle over function fields. https://doi.org/10.1017/s0004972724000029

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