Glasnik matematički, Vol. 49 No. 2, 2014.
Original scientific paper
https://doi.org/10.3336/gm.49.2.09
Combinatorial convolution sums derived from divisor functions and Faulhaber sums
Bumkyu Cho
; Department of Mathematics, Dongguk University-Seoul, 26 Pil-dong 3-ga Jung-gu Seoul, South Korea
Daeyeoul Kim
; National Institute for Mathematical Science , Yuseong-daero 1689-gil Daejeon 305-811, South Korea
Ho Park
; Department of Mathematics, Dongguk University-Seoul,, 26 Pil-dong 3-ga Jung-gu Seoul, South Korea
Abstract
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.
Keywords
Divisor functions; convolution sums; Faulhaber's sum
Hrčak ID:
130889
URI
Publication date:
18.12.2014.
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