Open Access
June 2017 On Sums of Averages of Generalized Ramanujan Sums
Isao KIUCHI
Tokyo J. Math. 40(1): 255-275 (June 2017). DOI: 10.3836/tjm/1502179227

Abstract

We shall consider some formulas for weighted averages of the generalized Ramanujan sum $\sum_{d|\gcd(k,n)}f(d)g\left({k}/{d}\right)h\left({n}/{d}\right)$ for any arithmetical functions $f,\ g$ and $h$, with the weights concerning completely multiplicative functions, completely additive functions and others.

Citation

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Isao KIUCHI. "On Sums of Averages of Generalized Ramanujan Sums." Tokyo J. Math. 40 (1) 255 - 275, June 2017. https://doi.org/10.3836/tjm/1502179227

Information

Published: June 2017
First available in Project Euclid: 8 August 2017

zbMATH: 06767485
MathSciNet: MR3689990
Digital Object Identifier: 10.3836/tjm/1502179227

Subjects:
Primary: 11A25
Secondary: 11N37 , 11P99

Rights: Copyright © 2017 Publication Committee for the Tokyo Journal of Mathematics

Vol.40 • No. 1 • June 2017
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