COMBINATORIAL CONVOLUTION SUMS DERIVED FROM DIVISOR FUNCTIONS AND FAULHABER SUMS

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초록

It is known that certain convolution sums using Liouville identity can be expressed as a combination of divisor functions and Bernoulli numbers. In this article we find seven combinatorial convolution sums derived from divisor functions and Bernoulli numbers.

키워드

Divisor functions; convolution sums; Faulhaber's sum
제목
COMBINATORIAL CONVOLUTION SUMS DERIVED FROM DIVISOR FUNCTIONS AND FAULHABER SUMS
저자
Cho, Bumkyu; Kim, Daeyeoul; Park, Ho
DOI
10.3336/gm.49.2.09
발행일
2014
유형
Article
저널명
Glasnik Matematicki
권
49
호
2
페이지
351 ~ 367