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 $\tilde{\sigma}_s(N) Keywords Weierstrass $\small{{\wp}(x)}$ functions;convolution sums; Language English Cited by 1. ON THE CONVOLUTION SUMS OF CERTAIN RESTRICTED DIVISOR FUNCTIONS,;;; 호남수학학술지, 2013. vol.35. 2, pp.251-302 2. CONVOLUTION SUMS OF ODD AND EVEN DIVISOR FUNCTIONS,; 호남수학학술지, 2013. vol.35. 3, pp.445-506 3. CONVOLUTION SUMS AND THEIR RELATIONS TO EISENSTEIN SERIES,;;; 대한수학회보, 2013. vol.50. 4, pp.1389-1413 4. A REMARK OF ODD DIVISOR FUNCTIONS AND WEIERSTRASS ℘-FUNCTIONS,;;; 호남수학학술지, 2014. vol.36. 1, pp.55-66 5. CERTAIN COMBINATORIC CONVOLUTION SUMS AND THEIR RELATIONS TO BERNOULLI AND EULER POLYNOMIALS,;;; 대한수학회지, 2015. vol.52. 3, pp.537-565 1. CONVOLUTION SUMS AND THEIR RELATIONS TO EISENSTEIN SERIES, Bulletin of the Korean Mathematical Society, 2013, 50, 4, 1389 2. A REMARK OF ODD DIVISOR FUNCTIONS AND WEIERSTRASS ℘-FUNCTIONS, Honam Mathematical Journal, 2014, 36, 1, 55 3. ON THE CONVOLUTION SUMS OF CERTAIN RESTRICTED DIVISOR FUNCTIONS, Honam Mathematical Journal, 2013, 35, 2, 251 4. Combinatorial convolution sums derived from divisor functions and Faulhaber sums, Glasnik Matematicki, 2014, 49, 2, 351 5. CONVOLUTION SUMS OF ODD AND EVEN DIVISOR FUNCTIONS, Honam Mathematical Journal, 2013, 35, 3, 445 6. CERTAIN COMBINATORIC CONVOLUTION SUMS AND THEIR RELATIONS TO BERNOULLI AND EULER POLYNOMIALS, Journal of the Korean Mathematical Society, 2015, 52, 3, 537 7. Convolution identities for twisted Eisenstein series and twisted divisor functions, Fixed Point Theory and Applications, 2013, 2013, 1, 81 References 1. A. Alaca, S. Alaca, and K. S. Williams, The convolution sum${\Sigma}_{m, Canad. Math. Bull. 51 (2008), no. 1, 3-14.

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