eng
episciences.org
Hardy-Ramanujan Journal
2804-7370
2017-01-09
Volume 39 - 2016
10.46298/hrj.2017.2636
2636
journal article
Ramanujan-Fourier series of certain arithmetic functions of two variables
Noboru Ushiroya
We study Ramanujan-Fourier series of certain arithmetic functions of two variables. We generalize Delange's theorem to the case of arithmetic functions of two variables and give sufficient conditions for pointwise convergence of Ramanujan-Fourier series of arithmetic functions of two variables. We also give several examples which are not obtained by trivial generalizations of results on Ramanujan-Fourier series of functions of one variable.
https://hrj.episciences.org/2636/pdf
Ramanujan-Fourier series
two variables
arithmetic functions
multiplicative functions
MSC 11A25, 11N37
[MATH] Mathematics [math]