A study of approximate normal distribution derived from combinatoric convolution sums of divisor functions

Daeyeoul Kim; Kwangchul Lee; Gyeong Sig Seo

doi:10.2298/FIL1607811K

A study of approximate normal distribution derived from combinatoric convolution sums of divisor functions

Daeyeoul Kim
, Kwangchul Lee
, Gyeong Sig Seo

Department of Mathematics

National Institute for Mathematical Sciences
Jeonbuk National University

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

Abstract

In this paper, we consider the relations between Bernoulli polynomials, Legendre polynomials and combinatoric convolution sums of divisor functions. In addition, we give examples of approximate normal distribution derived from combinatoric convolution sums of divisor functions.

Original language	English
Pages (from-to)	1811-1821
Number of pages	11
Journal	Filomat
Volume	30
Issue number	7
DOIs	https://doi.org/10.2298/FIL1607811K
State	Published - 2016

Keywords

Bernoulli Polynomials
Convolution sums of divisor functions

Quacquarelli Symonds(QS) Subject Topics

Mathematics

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10.2298/FIL1607811K

Cite this

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title = "A study of approximate normal distribution derived from combinatoric convolution sums of divisor functions",

abstract = "In this paper, we consider the relations between Bernoulli polynomials, Legendre polynomials and combinatoric convolution sums of divisor functions. In addition, we give examples of approximate normal distribution derived from combinatoric convolution sums of divisor functions.",

keywords = "Bernoulli Polynomials, Convolution sums of divisor functions",

author = "Daeyeoul Kim and Kwangchul Lee and Seo, \{Gyeong Sig\}",

year = "2016",

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language = "English",

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pages = "1811--1821",

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AU - Kim, Daeyeoul

AU - Lee, Kwangchul

AU - Seo, Gyeong Sig

PY - 2016

Y1 - 2016

N2 - In this paper, we consider the relations between Bernoulli polynomials, Legendre polynomials and combinatoric convolution sums of divisor functions. In addition, we give examples of approximate normal distribution derived from combinatoric convolution sums of divisor functions.

AB - In this paper, we consider the relations between Bernoulli polynomials, Legendre polynomials and combinatoric convolution sums of divisor functions. In addition, we give examples of approximate normal distribution derived from combinatoric convolution sums of divisor functions.

KW - Bernoulli Polynomials

KW - Convolution sums of divisor functions

UR - https://www.scopus.com/pages/publications/84982872473

U2 - 10.2298/FIL1607811K

DO - 10.2298/FIL1607811K

M3 - Journal article

AN - SCOPUS:84982872473

SN - 0354-5180

VL - 30

SP - 1811

EP - 1821

JO - Filomat

JF - Filomat

IS - 7

ER -

A study of approximate normal distribution derived from combinatoric convolution sums of divisor functions

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

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