A Generalization of the Gcd-Sum Function
Ulrich Abel, Waqar Awan, and Vitaliy Kushnirevych
Technische Hochschule Mittelhessen
University of Applied Sciences
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.
Full version: pdf,
Received February 6 2013;
revised version received June 29 2013.
Published in Journal of Integer Sequences, July 29 2013.
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