Density modulo 1 of a sequence associated to some multiplicative functions evaluated at polynomial argumentsArticle
Authors: Mohammad Nasiri-Zare
NULL
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
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: [MATH]Mathematics [math], [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT], [en] Sieve 2010 Mathematics Subject Classification 11K06, Multiplicative function, Distribution modulo 1, 11N36, 11N37