Journal of Advances in Mathematics and Computer Science

Evaluation of Certain Convolution Sums Involving Divisor Functions and Infinite Product Sums

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

Originating from the convolution sum

   

for n 2 N by Kim’s result, we try to induce the convolution sum formulae as

 

 

therefore we obtain the desired results. Moreover we construct some various convolution sums and
obtain their formulae

 

Keywords: Divisor functions, Convolution sums

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