### Standard

**Sums of reciprocals and the three distance theorem.** / Beresnevich, Victor; Leong, Nicol En Ci.

2017.

Research output: Working paper

### Harvard

Beresnevich, V & Leong, NEC 2017 'Sums of reciprocals and the three distance theorem'.

### APA

Beresnevich, V., & Leong, N. E. C. (2017). *Sums of reciprocals and the three distance theorem*.

### Vancouver

Beresnevich V, Leong NEC. Sums of reciprocals and the three distance theorem. 2017.

### Author

Beresnevich, Victor ; Leong, Nicol En Ci. / **Sums of reciprocals and the three distance theorem**. 2017.

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title = "Sums of reciprocals and the three distance theorem",

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.",

author = "Victor Beresnevich and Leong, {Nicol En Ci}",

year = "2017",

language = "English",

type = "WorkingPaper",

}

### RIS (suitable for import to EndNote) - Download

TY - UNPB

T1 - Sums of reciprocals and the three distance theorem

AU - Beresnevich, Victor

AU - Leong, Nicol En Ci

PY - 2017

Y1 - 2017

N2 - 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.

AB - 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.

M3 - Working paper

BT - Sums of reciprocals and the three distance theorem

ER -