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http://dx.doi.org/10.5831/HMJ.2016.38.2.243

A PRODUCT FORMULA FOR COMBINATORIC CONVOLUTION SUMS OF ODD DIVISOR FUNCTIONS

Lee, Kwangchul (Department of Mathematics, Chonbuk National University)
Kim, Daeyeoul (National Institute for Mathematical Sciences)
Seo, Gyeong-Sig (Department of Mathematics, Institute of Pure and Applied Mathematics, Chonbuk National University)

Publication Information

Honam Mathematical Journal / v.38, no.2, 2016 , pp. 243-257 More about this Journal

Abstract

If we let $L(2K;n):=\sum_{s=0}^{k-1}(^{2k}_{2s+1})\sum_{m=1}^{n-1}{\sigma}_{2k-2s-1,1}(m;2){\sigma}_{2s+1,1}(n-m;2)$ with $$${\sigma}_{k,l}(n;2):=\sum\limits_{{d{\mid}n}\atop{d{\equ$ $iv}l(mod2)}}d^k$$$ , then we get the formula of L(2u; p)L(2v; p)L(2w; p).

Keywords

Divisor functions; Convolution sums; Bernoulli polynomials;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
Cited By KSCI

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