DENSITY MODULO 1 OF A SEQUENCE ASSOCIATED TO SOME MULTIPLICATIVE FUNCTIONS EVALUATED AT POLYNOMIAL ARGUMENTS

Mohammad Nasiri-Zare (1)

1 ZNU - University of Zanjan

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

Domaines: Mathématiques [math]; Théorie des nombres [math.NT]

Mohammad Nasiri-Zare. DENSITY MODULO 1 OF A SEQUENCE ASSOCIATED TO SOME MULTIPLICATIVE FUNCTIONS EVALUATED AT POLYNOMIAL ARGUMENTS. 2019. ⟨hal-02196755v1⟩