A bias phenomenon on the behavior of Dedekind sums

• Autores: Emre Alkan, Maosheng Xiong, Alexandru Zaharescu
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 15, Nº 5-6, 2008, págs. 1039-1052
• Idioma: inglés
• DOI: 10.4310/mrl.2008.v15.n5.a16
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• Resumen

  • 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.