# The inhomogeneous Sprindzhuk conjecture over a local field of positive characteristic

## TL;DR

This paper proves a strengthened inhomogeneous Sprindzhuk conjecture in metric Diophantine approximation over local fields of positive characteristic, advancing understanding of approximation properties in this setting.

## Contribution

It extends the homogeneous Sprindzhuk conjecture to the inhomogeneous case over local fields of positive characteristic using advanced transference techniques.

## Key findings

- Proves a strengthened inhomogeneous Sprindzhuk conjecture
- Utilizes transference principle of Beresnevich and Velani
- Builds on previous homogeneous case results

## Abstract

We prove a strengthened version of the inhomogeneous Sprindzhuk conjecture in metric Diophantine approximation, over a local field of positive characteristic. The main tool is the transference principle of Beresnevich and Velani coupled with earlier work of the second named author who proved the standard, i.e. homogeneous version.