Transference theorems for Diophantine approximation with weights

2019/05/04 by German, Oleg N. · 1 citation
#11H60 #11J13 (Primary) #11J20 (Secondary) #11J25 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1905.01512

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.

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• Khintchine-type theorems for weighted uniform inhomogeneous approximations via transference principle

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