Mohammad Nasiri-Zare - Density modulo 1 of a sequence associated to some multiplicative functions evaluated at polynomial arguments

hrj:5650 - Hardy-Ramanujan Journal, May 21, 2020, Volume 42 - Special Commemorative volume in honour of Alan Baker - 2019 - https://doi.org/10.46298/hrj.2020.5650
Density modulo 1 of a sequence associated to some multiplicative functions evaluated at polynomial arguments

Authors: Mohammad Nasiri-Zare

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

https://doi.org/10.46298/hrj.2020.5650
Source : oai: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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