10.46298/hrj.2017.2636
https://hrj.episciences.org/2636
Ushiroya, Noboru
Noboru
Ushiroya
Ramanujan-Fourier series of certain arithmetic functions of two variables
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.
episciences.org
Ramanujan-Fourier series
two variables
arithmetic functions
multiplicative functions
MSC 11A25, 11N37
[MATH] Mathematics [math]
2017-01-09
2017-01-09
2017-01-09
en
journal article
https://hal.archives-ouvertes.fr/hal-01425531v1
2804-7370
https://hrj.episciences.org/2636/pdf
VoR
application/pdf
Hardy-Ramanujan Journal
Volume 39 - 2016
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