Journal of Integer Sequences, Vol. 16 (2013), Article 13.6.7

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


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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