# Transference theorems for Diophantine approximation with weights

**Authors:** Oleg N. German

arXiv: 1905.01512 · 2019-11-04

## TL;DR

This paper extends classical transference inequalities in Diophantine approximation to the weighted setting, providing generalized bounds for regular and uniform exponents.

## Contribution

It introduces new transference inequalities for weighted Diophantine exponents, broadening the scope of existing non-weighted results.

## Key findings

- Generalized transference inequalities for weighted exponents
- Extension of classical inequalities to weighted case
- Broader applicability in Diophantine approximation

## Abstract

In this paper we prove transference inequalities for regular and uniform Diophantine exponents in the weighted setting. Our results generalize the corresponding inequalities that exist in the `non-weighted' case.

## Full text

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## Figures

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## References

19 references — full list in the complete paper: https://tomesphere.com/paper/1905.01512/full.md

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Source: https://tomesphere.com/paper/1905.01512