Bernoulli numbers, convolution sums and congruences of coefficients for certain generating functions

Daeyeoul Kim; Aeran Kim; Ayyadurai Sankaranarayanan

doi:10.1186/1029-242X-2013-225

Bernoulli numbers, convolution sums and congruences of coefficients for certain generating functions

Daeyeoul Kim^*
, Aeran Kim
, Ayyadurai Sankaranarayanan

^*Corresponding author for this work

Department of Mathematics

National Institute for Mathematical Sciences
Jeonbuk National University
Tata Institute of Fundamental Research

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

6 Scopus citations

Abstract

In this paper, we study the convolution sums involving restricted divisor functions, their generalizations, their relations to Bernoulli numbers, and some interesting applications. MSC: 11B68, 11A25, 11A67, 11Y70, 33E99.

Original language	English
Article number	225
Journal	Journal of Inequalities and Applications
Volume	2013
DOIs	https://doi.org/10.1186/1029-242X-2013-225
State	Published - 2013

Keywords

Bernoulli numbers
convolution sums
divisor functions
generating functions

Quacquarelli Symonds(QS) Subject Topics

Mathematics

Access to Document

10.1186/1029-242X-2013-225

Cite this

@article{a197d52681d0420b898d0c8db1f3d499,

title = "Bernoulli numbers, convolution sums and congruences of coefficients for certain generating functions",

abstract = "In this paper, we study the convolution sums involving restricted divisor functions, their generalizations, their relations to Bernoulli numbers, and some interesting applications. MSC: 11B68, 11A25, 11A67, 11Y70, 33E99.",

keywords = "Bernoulli numbers, convolution sums, divisor functions, generating functions",

author = "Daeyeoul Kim and Aeran Kim and Ayyadurai Sankaranarayanan",

year = "2013",

doi = "10.1186/1029-242X-2013-225",

language = "English",

volume = "2013",

journal = "Journal of Inequalities and Applications",

issn = "1025-5834",

}

TY - JOUR

T1 - Bernoulli numbers, convolution sums and congruences of coefficients for certain generating functions

AU - Kim, Daeyeoul

AU - Kim, Aeran

AU - Sankaranarayanan, Ayyadurai

PY - 2013

Y1 - 2013

N2 - In this paper, we study the convolution sums involving restricted divisor functions, their generalizations, their relations to Bernoulli numbers, and some interesting applications. MSC: 11B68, 11A25, 11A67, 11Y70, 33E99.

AB - In this paper, we study the convolution sums involving restricted divisor functions, their generalizations, their relations to Bernoulli numbers, and some interesting applications. MSC: 11B68, 11A25, 11A67, 11Y70, 33E99.

KW - Bernoulli numbers

KW - convolution sums

KW - divisor functions

KW - generating functions

UR - https://www.scopus.com/pages/publications/84879657680

U2 - 10.1186/1029-242X-2013-225

DO - 10.1186/1029-242X-2013-225

M3 - Journal article

AN - SCOPUS:84879657680

SN - 1025-5834

VL - 2013

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

M1 - 225

ER -

Bernoulli numbers, convolution sums and congruences of coefficients for certain generating functions

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

Access to Document

Other files and links

Fingerprint

Cite this