Journal of Advances in Mathematics and Computer Science

The Convolution Sums ∑n−1 m=1 mk σe (m) σf(n-m)

Aeran Kim *

Songcheon-dong 2-ga, Deokjin-gu, Jeonju-si, Jeollabuk-do, 176-31, South Korea.

*Author to whom correspondence should be addressed.

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Abstract

In this paper we obtain some various convolution sum formulae especially, focusing on the form

for  and an odd positive integer e and f. Furthermore, we obtain some identities related to the convolution sums.

Keywords: Divisor functions, Convolution sums

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