A bias phenomenon on the behavior of dedekind sums

Emre Alkan, Xiong Maosheng, Alexandru Zaharescu

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Pages (from-to)1039-1052
Number of pages14
JournalMathematical Research Letters
Volume15
Issue number5-6
DOIs
StatePublished - Jan 1 2008

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Keywords

  • Dedekind sums
  • Kloosterman sums
  • Visible points

ASJC Scopus subject areas

  • Mathematics(all)

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