Mohammad Nasiri-Zare
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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
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https://doi.org/10.46298/hrj.2020.5650
Density modulo 1 of a sequence associated to some multiplicative functions evaluated at polynomial argumentsArticle
Authors: Mohammad Nasiri-Zare
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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