Mathematical Research Letters

Volume 15 (2008)

Number 5

A bias phenomenon on the behavior of Dedekind sums

Pages: 1039 – 1052

DOI: https://dx.doi.org/10.4310/MRL.2008.v15.n5.a16

Authors

Emre Alkan (Koc University)

Maosheng Xiong (University of Illinois at Urbana-Champaign)

Alexandru Zaharescu (University of Illinois at Urbana-Champaign)

Abstract

In this paper we present a bias phenomenon on the behavior of Dedekind sums at visible points in a dilated region. Our results indicate that in more than three quarters of the time the Dedekind sum increases as one moves from one visible point to the next.

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Published 1 January 2008