Sums of reciprocals and the three distance theorem

Victor Beresnevich, Nicol En Ci Leong

Research output: Working paper


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 languageEnglish
Number of pages15
Publication statusPublished - 2017

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