Lines full of Dedekind sums

G. Myerson, N. Phillips

    Research output: Contribution to journalArticle

    2 Citations (Scopus)

    Abstract

    Let s: ℚ → ℚ be the Dedekind sum, given by s(h/k) = ∑v=1 k-1(v/k-1/2)({hv/k} - 1/2) when gcd (h, k) = 1. Then for every rational α ≠ 1/12 there are infinitely many rational x such that s(x) = αx. Also, the fixed points of s are dense in the real line.

    Original languageEnglish
    Pages (from-to)547-552
    Number of pages6
    JournalBulletin of the London Mathematical Society
    Volume36
    Issue number4
    DOIs
    Publication statusPublished - Jul 2004

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