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Evaluating binomial convolution sums of divisor functions in terms of Euler and Bernoulli polynomials
- Authors
- Cho, Bumkyu; Park, Ho
- Issue Date
- Mar-2018
- Publisher
- WORLD SCIENTIFIC PUBL CO PTE LTD
- Keywords
- Euler polynomial; divisor functions; convolution sums
- Citation
- INTERNATIONAL JOURNAL OF NUMBER THEORY, v.14, no.2, pp 509 - 525
- Pages
- 17
- Indexed
- SCIE
SCOPUS
- Journal Title
- INTERNATIONAL JOURNAL OF NUMBER THEORY
- Volume
- 14
- Number
- 2
- Start Page
- 509
- End Page
- 525
- ISSN
- 1793-0421
1793-7310
- Abstract
- In this paper, we provide two identities about binomial convolution sums of sigma(b)(r) (n; N/4, N) with N/4 is an element of N, which are expressed in terms of Euler and Bernoulli polynomials. A recent result of Kim, Bayad and Park turns out to be a special case of one of the two identities when N = 4.
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Related Researcher
- Cho, Bum Kyu
- College of Natural Science (Department of Mathematics)