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Journal of Integer Sequences, Vol. 14 (2011), Article 11.7.7

Weighted Gcd-Sum Functions


László Tóth
Department of Mathematics
University of Pécs
Ifjúság u. 6
7624 Pécs
Hungary

and

Institute of Mathematics
Department of Integrative Biology
Universität für Bodenkultur
Gregor Mendel-Straße 33
A-1180 Wien
Austria

Abstract:

We investigate weighted gcd-sum functions, including the alternating gcd-sum function and those having as weights the binomial coefficients and values of the Gamma function. We also consider the alternating lcm-sum function.

Full version:  pdf,    dvi,    ps,    latex    

Errata (posted February 15 2015):   pdf,    dvi,    ps,    latex    

(Concerned with sequences A001783 A002109 A018804 A051193 A056188 A159068.)

Received May 11 2011; revised version received July 18 2011. Published in Journal of Integer Sequences, September 5 2011.

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