Density modulo 1 of a sequence associated to some multiplicative functions evaluated at polynomial arguments - Archive ouverte HAL
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
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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
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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

  • HAL Id : hal-02196755 , version 3

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, pp.58 - 63. ⟨hal-02196755v3⟩
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