{"docId":2636,"paperId":2636,"url":"https:\/\/hrj.episciences.org\/2636","doi":"10.46298\/hrj.2017.2636","journalName":"Hardy-Ramanujan Journal","issn":"","eissn":"2804-7370","volume":[{"vid":161,"name":"Volume 39 - 2016"}],"section":[],"repositoryName":"Hal","repositoryIdentifier":"hal-01425531","repositoryVersion":1,"repositoryLink":"https:\/\/hal.archives-ouvertes.fr\/hal-01425531v1","dateSubmitted":"2017-01-09 13:40:44","dateAccepted":"2017-01-09 14:32:17","datePublished":"2017-01-09 14:32:35","titles":{"en":"Ramanujan-Fourier series of certain arithmetic functions of two variables"},"authors":["Ushiroya, Noboru"],"abstracts":{"en":"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."},"keywords":[{"en":"Ramanujan-Fourier series"},{"en":"two variables"},{"en":"arithmetic functions"},{"en":"multiplicative functions "},"MSC 11A25, 11N37","[MATH] Mathematics [math]"]}