Open AccessSome result for binomial convolution sums of restricted divisor functions
Author(s) -
Ho Park,
Daeyeoul Kim,
Ji So Suk
Publication year - 2020
Publication title -
applicable analysis and discrete mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.69
H-Index - 26
eISSN - 2406-100X
pISSN - 1452-8630
DOI - 10.2298/aadm190223043p
Subject(s) - mathematics , divisor (algebraic geometry) , convolution (computer science) , binomial (polynomial) , binomial coefficient , gaussian binomial coefficient , convolution power , pure mathematics , binomial approximation , binomial theorem , discrete mathematics , combinatorics , negative binomial distribution , mathematical analysis , statistics , fourier transform , fourier analysis , poisson distribution , machine learning , artificial neural network , computer science , fractional fourier transform
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 ?d|n(-1)d-1d and ?d|n (-1)n=d-1d. In this paper, we present the results for the binomial convoltion sums, generalized convolution sums of Hahn, of these divisor functions.