Piltz divisor problem over number fields à la Voronoï

Banerjee, Soumyarup

doi:10.1090/proc/15324

Piltz divisor problem over number fields à la Voronoï
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by Soumyarup Banerjee

Proc. Amer. Math. Soc. 149 (2021), 1025-1038

DOI: https://doi.org/10.1090/proc/15324

Published electronically: January 22, 2021

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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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