CONVOLUTION SUMS ARISING FROM DIVISOR FUNCTIONS

Title & Authors
CONVOLUTION SUMS ARISING FROM DIVISOR FUNCTIONS
Kim, Aeran; Kim, Daeyeoul; Yan, Li;

Abstract
Let $\small{{\sigma}_s(N)}$ denote the sum of the sth powers of the positive divisors of a positive integer N and let $\small{\tilde{\sigma}_s(N)={\sum}_{d|N}(-1)^{d-1}d^s}$ with $\small{d}$, N, and s positive integers. Hahn [12] proved that 16\sum_{k for $\small{m(0{\leq}m{\leq}n)}$.
Keywords
Weierstrass $\small{{\wp}(x)}$ functions;convolution sums;
Language
English
Cited by
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2.
ON THE CONVOLUTION SUMS OF CERTAIN RESTRICTED DIVISOR FUNCTIONS, Honam Mathematical Journal, 2013, 35, 2, 251
3.
CERTAIN COMBINATORIC CONVOLUTION SUMS AND THEIR RELATIONS TO BERNOULLI AND EULER POLYNOMIALS, Journal of the Korean Mathematical Society, 2015, 52, 3, 537
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CONVOLUTION SUMS OF ODD AND EVEN DIVISOR FUNCTIONS, Honam Mathematical Journal, 2013, 35, 3, 445
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CONVOLUTION SUMS AND THEIR RELATIONS TO EISENSTEIN SERIES, Bulletin of the Korean Mathematical Society, 2013, 50, 4, 1389
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