DISTRIBUTION OF VALUES OF THE SUM OF UNITARY DIVISORS IN RESIDUE CLASSES

In this paper we prove the tauberian type theorem containing the asymptotic series for the Dirichlet series. We use this result to study distribution of sum of unitary divisors in residue classes coprime with a module. The divisor d of the integer n is an unitary divisor if (d, n/d) = 1. The sum...

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Bibliographic Details
Main Authors: B. M. Shirokov, L. A. Gromakovskaya
Format: Article
Language:English
Published: Petrozavodsk State University 2016-05-01
Series:Проблемы анализа
Subjects:
Online Access:http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=3370&lang=ru