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Research Article Open access CC BY 3.0

The Convolution Sum ∑m

Aeran Kim

Journal of Advances in Mathematics and Computer Science · pp. 774–789 · Published 18 Dec 2013

10.9734/BJMCS/2014/7519

Abstract

The convolution sum  m<n=8 _3(m)_3(n - 8m) is evaluated for all n 2 N. This evaluation is used to determine the formulae of the convolution sums   etc., and the number of representations of n through the sum of eight triangular numbers. 

Divisor functions : Convolution sum.

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