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http://dx.doi.org/10.4134/JKMS.2013.50.2.331

CONVOLUTION SUMS ARISING FROM DIVISOR FUNCTIONS  

Kim, Aeran (Department of Mathematics and Institute of Pure and Applied Mathematics Chonbuk National University)
Kim, Daeyeoul (National Institute for Mathematical Sciences)
Yan, Li (Department of Applied Mathematics China Agriculture University)
Publication Information
Journal of the Korean Mathematical Society / v.50, no.2, 2013 , pp. 331-360 More about this Journal
Abstract
Let ${\sigma}_s(N)$ denote the sum of the sth powers of the positive divisors of a positive integer N and let $\tilde{\sigma}_s(N)={\sum}_{d|N}(-1)^{d-1}d^s$ with $d$, N, and s positive integers. Hahn [12] proved that $$16\sum_{k for $m(0{\leq}m{\leq}n)$.
Keywords
Weierstrass ${\wp}(x)$ functions; convolution sums;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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