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arXiv · 1607.07682

The largest values of Dedekind sums

Kurt Girstmair
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Abstract

Let $s(m,n)$ denote the classical \DED sum, where $n$ is a positive integer and $m\in\{0,1,\ldots, n-1\}$, $(m,n)=1$. For a given positive integer $k$, we describe a set of at most $k^2$ numbers $m$ for which $s(m,n)$ may be $\ge s(k,n)$, provided that $n$ is sufficiently large. For the numbers $m$ not in this set, $s(m,n)<s(k,n)$.

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Kurt Girstmair. 2016-07-26. The largest values of Dedekind sums. https://arxiv.org/abs/1607.07682

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