Sums of reciprocals and the three distance theorem

Research output: Working paper

Full text download(s)

Author(s)

Department/unit(s)

Publication details

DatePublished - 2017
Number of pages15
Original languageEnglish

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.

Discover related content

Find related publications, people, projects, datasets and more using interactive charts.

View graph of relations