An integer-valued expression of Dedekind sums

Simon Macourt*

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    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 languageEnglish
    Pages (from-to)1253-1259
    Number of pages7
    JournalInternational Journal of Number Theory
    Volume13
    Issue number5
    DOIs
    Publication statusPublished - Jun 2017

    Keywords

    • Dedekind sums

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