A Generalization of the Gcd-Sum Function
Ulrich Abel, Waqar Awan, and Vitaliy Kushnirevych
Fachbereich MND
Technische Hochschule Mittelhessen
University of Applied Sciences
Wilhelm-Leuschner-Straße 13
61169 Friedberg
Germany
Abstract:
In this paper we consider the generalization
Gd(n) of the
Broughan gcd-sum function, i.e., the sum of such gcd's that are divisors of
the positive integer d. Examples of Dirichlet series and asymptotic
relations for Gd and related functions are given.
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Received February 6 2013;
revised version received June 29 2013.
Published in Journal of Integer Sequences, July 29 2013.
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