scholarly journals Certain combinatoric Bernoulli polynomials and convolution sums of divisor functions

2013 ◽  
Vol 2013 (1) ◽  
Author(s):  
Daeyeoul Kim ◽  
Nazli Yildiz Ikikardes
Keyword(s):  
Bernoulli Polynomials ◽  
Convolution Sums ◽  
Divisor Functions

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

Filomat ◽  
2016 ◽  
Vol 30 (7) ◽  
pp. 1811-1821
Author(s):  
Daeyeoul Kim ◽  
Kwangchul Lee ◽  
Gyeong-Sig Seo
Keyword(s):  
Normal Distribution ◽  
Legendre Polynomials ◽  
Bernoulli Polynomials ◽  
Convolution Sums ◽  
Divisor Functions

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.

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

2018 ◽  
Vol 14 (02) ◽  
pp. 509-525 ◽  
Author(s):  
Bumkyu Cho ◽  
Ho Park
Keyword(s):  
Recent Result ◽  
Bernoulli Polynomials ◽  
Convolution Sums ◽  
Divisor Functions ◽  
Binomial Convolution ◽  
Special Case

In this paper, we provide two identities about binomial convolution sums of [Formula: see text] with [Formula: see text], 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 [Formula: see text].

scholarly journals A PRODUCT FORMULA FOR COMBINATORIC CONVOLUTION SUMS OF ODD DIVISOR FUNCTIONS

2016 ◽  
Vol 38 (2) ◽  
pp. 243-257
Author(s):  
Kwangchul Lee ◽  
Daeyeoul Kim ◽  
Gyeong-Sig Seo
Keyword(s):  
Product Formula ◽  
Convolution Sums ◽  
Divisor Functions

scholarly journals CONVOLUTION SUMS ARISING FROM DIVISOR FUNCTIONS

2013 ◽  
Vol 50 (2) ◽  
pp. 331-360 ◽  
Author(s):  
Aeran Kim ◽  
Daeyeoul Kim ◽  
Li Yan
Keyword(s):  
Convolution Sums ◽  
Divisor Functions

scholarly journals The multinomial convolution sums of certain divisor functions

2017 ◽  
Vol 448 (2) ◽  
pp. 1163-1174 ◽  
Author(s):  
Bumkyu Cho ◽  
Daeyeoul Kim ◽  
Ho Park
Keyword(s):  
Convolution Sums ◽  
Divisor Functions
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