Sums of reciprocals and the three distance theorem

Victor Beresnevich; Nicol En Ci Leong

Sums of reciprocals and the three distance theorem

Mathematics

Research output: Working paper

Abstract

In this paper we investigate the sums of reciprocal to an arithmetic progression mod 1. Bounds for these sums have been studied for a long while. In this paper we develop an alternative technique using the so-call three distance theorem which allows us to recover some of the known results in a more efficient form and obtain new bounds.

Original language	English
Number of pages	15
Publication status	Published - 2017

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3D_latestSubmitted manuscript, 287 KBLicence: Unspecified

Cite this

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