SOME RESULT FOR BINOMIAL CONVOLUTION SUMS OF RESTRICTED DIVISOR FUNCTIONS

Ho Park; Daeyeoul Kim; Ji Suk So

doi:10.2298/AADM190223043P

SOME RESULT FOR BINOMIAL CONVOLUTION SUMS OF RESTRICTED DIVISOR FUNCTIONS

Ho Park
, Daeyeoul Kim
, Ji Suk So

Department of Mathematics

Dongguk University
Jeonbuk National University

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

Abstract

Besge presented the result about the convolution sum of divisor functions. Since then Liouville obtained the generalized version of Besge's formula, which is the binomial convolution sum of divisor functions. In 2004, Hahn obtained the results about the convolution sums of Σ_d\n(-1)^d-1d and Σ_d\n(-1)^n=d-1d. In this paper, we present the results for the binomial con- voltion sums, generalized convolution sums of Hahn, of these divisor functions.

Original language	English
Pages (from-to)	641-653
Number of pages	13
Journal	Applicable Analysis and Discrete Mathematics
Volume	14
Issue number	3
DOIs	https://doi.org/10.2298/AADM190223043P
State	Published - 2020

Keywords

Convolution sums
Divisor functions.

Quacquarelli Symonds(QS) Subject Topics

Mathematics

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10.2298/AADM190223043P

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title = "SOME RESULT FOR BINOMIAL CONVOLUTION SUMS OF RESTRICTED DIVISOR FUNCTIONS",

abstract = "Besge presented the result about the convolution sum of divisor functions. Since then Liouville obtained the generalized version of Besge's formula, which is the binomial convolution sum of divisor functions. In 2004, Hahn obtained the results about the convolution sums of Σd\textbackslash{}n(-1)d-1d and Σd\textbackslash{}n(-1)n=d-1d. In this paper, we present the results for the binomial con- voltion sums, generalized convolution sums of Hahn, of these divisor functions.",

keywords = "Convolution sums, Divisor functions.",

author = "Ho Park and Daeyeoul Kim and So, \{Ji Suk\}",

year = "2020",

doi = "10.2298/AADM190223043P",

language = "English",

volume = "14",

pages = "641--653",

journal = "Applicable Analysis and Discrete Mathematics",

issn = "1452-8630",

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T1 - SOME RESULT FOR BINOMIAL CONVOLUTION SUMS OF RESTRICTED DIVISOR FUNCTIONS

AU - Park, Ho

AU - Kim, Daeyeoul

AU - So, Ji Suk

PY - 2020

Y1 - 2020

N2 - Besge presented the result about the convolution sum of divisor functions. Since then Liouville obtained the generalized version of Besge's formula, which is the binomial convolution sum of divisor functions. In 2004, Hahn obtained the results about the convolution sums of Σd\n(-1)d-1d and Σd\n(-1)n=d-1d. In this paper, we present the results for the binomial con- voltion sums, generalized convolution sums of Hahn, of these divisor functions.

AB - Besge presented the result about the convolution sum of divisor functions. Since then Liouville obtained the generalized version of Besge's formula, which is the binomial convolution sum of divisor functions. In 2004, Hahn obtained the results about the convolution sums of Σd\n(-1)d-1d and Σd\n(-1)n=d-1d. In this paper, we present the results for the binomial con- voltion sums, generalized convolution sums of Hahn, of these divisor functions.

KW - Convolution sums

KW - Divisor functions.

UR - https://www.scopus.com/pages/publications/85100413487

U2 - 10.2298/AADM190223043P

DO - 10.2298/AADM190223043P

M3 - Journal article

AN - SCOPUS:85100413487

SN - 1452-8630

VL - 14

SP - 641

EP - 653

JO - Applicable Analysis and Discrete Mathematics

JF - Applicable Analysis and Discrete Mathematics

IS - 3

ER -

SOME RESULT FOR BINOMIAL CONVOLUTION SUMS OF RESTRICTED DIVISOR FUNCTIONS

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

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