The Convolution Sums ∑ m<n/4 mσ3(m)σ5(n – 4m) and ∑ m<n/4 mσ5(m)σ3(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.


Abstract

In this paper, we obtain the convolution sum formulae of

abs-11474.jpg

Moreover we obtain some identities induced from the above convolution sums and we find a coefficients relation.

Keywords: Divisor functions, Convolution sums.


How to Cite

Kim, Aeran. 2014. “The Convolution Sums ∑ m<n 4 mσ3(m)σ5(n – 4m) and ∑ m<N 4 mσ5(m)σ3(n – 4m)”. Journal of Advances in Mathematics and Computer Science 4 (21):3028-53. https://doi.org/10.9734/BJMCS/2014/11474.

Downloads

Download data is not yet available.