Piltz divisor problem over number fields à la Voronoï

2020/04/05 by Soumyarup Banerjee, Banerjee, Soumyarup
Mathematics · #11R11 #11R42 #11S80 #33C60 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11R11 #msc:11R42 #msc:11S80 #msc:33C60

paper · pdf · doi:10.48550/arxiv.2004.02074

12 pages

arxiv created 2020/09/06 · arxiv updated 2020/09/08

Abstract

In this article, we study the Piltz divisor problem, which is sometimes called the generalized Dirichlet divisor problem, over number fields. We establish an identity akin to Voronoï's formula concerning the error term in the Dirichlet divisor problem.

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