Ramanujan-Fourier series of certain arithmetic functions of two variables - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Hardy-Ramanujan Journal Année : 2017

Ramanujan-Fourier series of certain arithmetic functions of two variables

Résumé

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.
Fichier principal
Vignette du fichier
39Article1.pdf (315.21 Ko) Télécharger le fichier
Origine : Accord explicite pour ce dépôt

Dates et versions

hal-01425531 , version 1 (03-01-2017)

Identifiants

Citer

Noboru Ushiroya. Ramanujan-Fourier series of certain arithmetic functions of two variables. Hardy-Ramanujan Journal, 2017, Volume 39 - 2016, pp.1 - 20. ⟨10.46298/hrj.2017.2636⟩. ⟨hal-01425531⟩
51 Consultations
811 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More