Journal of Advances in Mathematics and Computer Science

Evaluation of Convolution Sums as ∑n-1 m=1 m σi (m) σj (n-m)

Aeran Kim *

Department of Mathematics, Chonbuk National University, Chonju, Chonbuk 561-756, South Korea.

*Author to whom correspondence should be addressed.

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Abstract

We calculate some special convolution sums related to the odd divisors multiplied by the even divisors. Also according to the Ramanujan’s functions implying σ1(n), σ3(n), and σ5(n), we obtain various convolution formulas.

Keywords: Convolution sum.

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