Evaluation of Convolution Sums as ∑n-1 m=1 m σi (m) σj (n-m)

Aeran Kim

doi:10.9734/BJMCS/2014/7421

Research Article Open access CC BY 3.0

Evaluation of Convolution Sums as ∑n-1 m=1 m σi (m) σj (n-m)

Aeran Kim

Journal of Advances in Mathematics and Computer Science · pp. 858–885 · Published 16 Jan 2014

10.9734/BJMCS/2014/7421

Abstract

We calculate some special convolution sums related to the odd divisors multiplied by the even divisors. Also according to the Ramanujan’s functions implying σ1(n), σ3(n), and σ5(n), we obtain various convolution formulas.

Convolution sum.

Cited by 2

THE RELATION PROPERTY BETWEEN THE DIVISOR FUNCTION AND INFINITE PRODUCT SUMS

Ae-ran Kim · 2016

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Aeran Kim (2014). Evaluation of Convolution Sums as ∑n-1 m=1 m σi (m) σj (n-m). Journal of Advances in Mathematics and Computer Science , 858–885. https://doi.org/10.9734/BJMCS/2014/7421

Affiliations

Aeran Kim — Department of Mathematics, Chonbuk National University, Chonju, Chonbuk 561-756, South Korea.

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