Bernoulli numbers and certain convolution sums with divisor functions

Daeyeoul Kim; Aeran Kim; Nazli Yildiz Ikikardes

doi:10.1186/1687-1847-2013-277

Bernoulli numbers and certain convolution sums with divisor functions

Daeyeoul Kim
, Aeran Kim
, Nazli Yildiz Ikikardes^*

^*Corresponding author for this work

Department of Mathematics

National Institute for Mathematical Sciences
Jeonbuk National University
Balikesir University

Research output: Contribution to journal › Journal article › peer-review

Abstract

In this paper, we investigate the convolution sums (Equation Presented) where a, b, c, d, x, y, z, u, n ∈ ℕ. Many new equalities and inequalities involving convolution sums, Bernoulli numbers and divisor functions have also been given.

Original language	English
Article number	277
Journal	Advances in Difference Equations
Volume	2013
DOIs	https://doi.org/10.1186/1687-1847-2013-277
State	Published - 2013.09

Keywords

Bernoulli numbers
Convolution sums
Inequality of Diophantine equations

Quacquarelli Symonds(QS) Subject Topics

Mathematics

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10.1186/1687-1847-2013-277

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title = "Bernoulli numbers and certain convolution sums with divisor functions",

abstract = "In this paper, we investigate the convolution sums (Equation Presented) where a, b, c, d, x, y, z, u, n ∈ ℕ. Many new equalities and inequalities involving convolution sums, Bernoulli numbers and divisor functions have also been given.",

keywords = "Bernoulli numbers, Convolution sums, Inequality of Diophantine equations",

author = "Daeyeoul Kim and Aeran Kim and Ikikardes, \{Nazli Yildiz\}",

year = "2013",

month = sep,

doi = "10.1186/1687-1847-2013-277",

language = "English",

volume = "2013",

journal = "Advances in Difference Equations",

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TY - JOUR

T1 - Bernoulli numbers and certain convolution sums with divisor functions

AU - Kim, Daeyeoul

AU - Kim, Aeran

AU - Ikikardes, Nazli Yildiz

PY - 2013/9

Y1 - 2013/9

N2 - In this paper, we investigate the convolution sums (Equation Presented) where a, b, c, d, x, y, z, u, n ∈ ℕ. Many new equalities and inequalities involving convolution sums, Bernoulli numbers and divisor functions have also been given.

AB - In this paper, we investigate the convolution sums (Equation Presented) where a, b, c, d, x, y, z, u, n ∈ ℕ. Many new equalities and inequalities involving convolution sums, Bernoulli numbers and divisor functions have also been given.

KW - Bernoulli numbers

KW - Convolution sums

KW - Inequality of Diophantine equations

UR - https://www.scopus.com/pages/publications/84897893116

U2 - 10.1186/1687-1847-2013-277

DO - 10.1186/1687-1847-2013-277

M3 - Journal article

AN - SCOPUS:84897893116

SN - 1687-1839

VL - 2013

JO - Advances in Difference Equations

JF - Advances in Difference Equations

M1 - 277

ER -

Bernoulli numbers and certain convolution sums with divisor functions

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

Access to Document

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