Density modulo 1 of a sequence associated to some multiplicative functions evaluated at polynomial arguments - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Hardy-Ramanujan Journal Année : 2020

Density modulo 1 of a sequence associated to some multiplicative functions evaluated at polynomial arguments

Mohammad Nasiri-Zare
  • Fonction : Auteur
  • PersonId : 1051478

Résumé

We study density modulo 1 of the sequence with general term ∑ m≤n f (G(m)) where f is the strongly multiplicative function of the form f (n) = ∏ p|n (1 − ν(p) p) and ν is a multiplicative function for which there exists a real number 0 < r ≤ 1 such that 1 ≤ |ν(p)| ≤ p
Fichier principal
Vignette du fichier
42Article5.pdf (249.34 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02196755 , version 1 (29-07-2019)
hal-02196755 , version 2 (09-05-2020)
hal-02196755 , version 3 (23-05-2020)

Identifiants

Citer

Mohammad Nasiri-Zare. Density modulo 1 of a sequence associated to some multiplicative functions evaluated at polynomial arguments. Hardy-Ramanujan Journal, 2020, Volume 42 - Special Commemorative volume in honour of Alan Baker - 2019, ⟨10.46298/hrj.2020.5650⟩. ⟨hal-02196755v2⟩
107 Consultations
548 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More