Journal of Advances in Mathematics and Computer Science

The Convolution Sums ∑m<n/2m2σe(m) σf(n-2m) and Its Applications

Aeran Kim *

1599-6-bungi, Keumam-2-dong, Deokjin-gu, Jeonju-si, Jeollabuk-do, 561-806, South Korea.

*Author to whom correspondence should be addressed.

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Abstract

In this paper we obtain the convolution sum formulae of

for n(∈ ) and an odd positive integer e and f. Moreover we obtain some identities induced from

Keywords: Divisor functions, Convolution sums.

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