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A bias phenomenon on the behavior of Dedekind sums

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Xiong, Maosheng
Zaharescu, Alexandru

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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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Int Press Boston, Inc

Subject

Mathematics

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Mathematical Research Letters

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DOI

10.4310/MRL.2008.v15.n5.a16

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