A note on multiplicative functions resembling the Mobius function

JOURNAL OF NUMBER THEORY

卷:212

Article

Aymone, Marco¹ 

[1] Univ Fed Minas Gerais, Dept Matemat, Ave Antonio Carlos 6627, BR-31270901 Belo Horizonte, MG, Brazil

关键词: Multiplicative functions;    Asymptotic results;   

DOI  :  10.1016/j.jnt.2019.10.025

来源: Elsevier

【 摘 要 】

We provide examples of multiplicative functions f supported on the square free integers, such that on primes f (p) = +/- 1 and such that M-f(x) := Sigma(n <= x) f(n) = o(root x). Further, by assuming the Riemann hypothesis (RH) we can go beyond root x-cancellation. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free