Journal of Advances in Mathematics and Computer Science

The Convolution Sums ∑m<n/4 mσe(m) σf(n-4m)

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 calculate the convolution sum formulae of

                                                                    

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

and deduce a coefficients relation.

Keywords: Divisor functions, Convolution sums.

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