Hardy-Ramanujan Journal |

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

Source: HAL:hal-02196755v2

Volume: Volume 42 - Special Commemorative volume in honour of Alan Baker - 2019

Published on: May 21, 2020

Accepted on: May 21, 2020

Submitted on: July 30, 2019

Keywords: 11N36,11N37,Distribution modulo 1,Multiplicative function,Sieve 2010 Mathematics Subject Classification 11K06,[MATH]Mathematics [math],[MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT]

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