# Remarks on Diophantine approximation in function fields

**Authors:** Arijit Ganguly, Anish Ghosh

arXiv: 1812.07147 · 2018-12-19

## TL;DR

This paper investigates metric Diophantine approximation within local fields of positive characteristic, aiming to understand approximation properties in these algebraic structures.

## Contribution

It provides new insights into Diophantine approximation in function fields, extending classical results to positive characteristic settings.

## Key findings

- Established bounds for approximation quality
- Extended classical Diophantine results to function fields
- Identified unique properties of approximation in positive characteristic

## Abstract

We study some problems in metric Diophantine approximation over local fields of positive characteristic.

## Full text

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## References

25 references — full list in the complete paper: https://tomesphere.com/paper/1812.07147/full.md

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Source: https://tomesphere.com/paper/1812.07147