Evaluating binomial convolution sums of divisor functions in terms of Euler and Bernoulli polynomials

Bumkyu Cho; Ho Park

doi:10.1142/S1793042118500318

Evaluating binomial convolution sums of divisor functions in terms of Euler and Bernoulli polynomials

Bumkyu Cho
, Ho Park

Department of Mathematics

Dongguk University

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

In this paper, we provide two identities about binomial convolution sums of σ_r^b(n; N/4,N) with N/4 ∈ 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.

Original language	English
Pages (from-to)	509-525
Number of pages	17
Journal	International Journal of Number Theory
Volume	14
Issue number	2
DOIs	https://doi.org/10.1142/S1793042118500318
State	Published - 1 Mar 2018

Keywords

Euler polynomial
convolution sums
divisor functions

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10.1142/S1793042118500318

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title = "Evaluating binomial convolution sums of divisor functions in terms of Euler and Bernoulli polynomials",

abstract = "In this paper, we provide two identities about binomial convolution sums of σrb(n; N/4,N) with N/4 ∈ 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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AU - Park, Ho

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N2 - In this paper, we provide two identities about binomial convolution sums of σrb(n; N/4,N) with N/4 ∈ 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.

AB - In this paper, we provide two identities about binomial convolution sums of σrb(n; N/4,N) with N/4 ∈ 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.

KW - Euler polynomial

KW - convolution sums

KW - divisor functions

UR - https://www.scopus.com/pages/publications/85028548620

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DO - 10.1142/S1793042118500318

M3 - Article

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VL - 14

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EP - 525

JO - International Journal of Number Theory

JF - International Journal of Number Theory

IS - 2

ER -

Evaluating binomial convolution sums of divisor functions in terms of Euler and Bernoulli polynomials

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