Ushiroya, Noboru - Ramanujan-Fourier series of certain arithmetic functions of two variables

hrj:2636 - Hardy-Ramanujan Journal, January 9, 2017, Volume 39
Ramanujan-Fourier series of certain arithmetic functions of two variables

Authors: Ushiroya, Noboru

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.


Source : oai:HAL:hal-01425531v1
Volume: Volume 39
Published on: January 9, 2017
Submitted on: January 9, 2017
Keywords: Ramanujan-Fourier series,two variables,arithmetic functions,multiplicative functions ,MSC 11A25, 11N37,[MATH] Mathematics [math]


Share

Browsing statistics

This page has been seen 254 times.
This article's PDF has been downloaded 143 times.