EVALUATION OF SOME CONVOLUTION SUMS AND SUMS OF TRIANGULAR NUMBERS
AERAN KIM *
A Private Mathematics Academy, 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 some various convolution sum formulae composing with divisor functions and the coefficients. And this inspiration enables us to prove in a very simple way the formula of Ono, Robins and Wahl for the number of representations of n 2 N as the sum of 16; 20; 24 triangular numbers.
Keywords: Divisor functions, convolution sums, triangular numbers
How to Cite
KIM, A. (2015). EVALUATION OF SOME CONVOLUTION SUMS AND SUMS OF TRIANGULAR NUMBERS. Asian Journal of Mathematics and Computer Research, 9(2), 167–213. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/174