An integer-valued expression of Dedekind sums

Simon Macourt

doi:10.1142/S1793042117500683

An integer-valued expression of Dedekind sums

Simon Macourt^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We prove a conjecture of Myerson and Phillips on when an expression involving Dedekind sums is an integer. We also provide a more general result and use this to extend the work of Myerson and Phillips studying whether the points of the graph of the one-variable Dedekind sum that fall on the line are dense.

Original language	English
Pages (from-to)	1253-1259
Number of pages	7
Journal	International Journal of Number Theory
Volume	13
Issue number	5
DOIs	https://doi.org/10.1142/S1793042117500683
Publication status	Published - Jun 2017

Keywords

Dedekind sums

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10.1142/S1793042117500683

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An integer-valued expression of Dedekind sums

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