Decay of Mean Values of Multiplicative Functions
نویسندگان
چکیده
منابع مشابه
Decay of Mean-values of Multiplicative Functions
p 1−f(p) p diverges then the limit in (1.1) exists, and equals 0 = Θ(f,∞). Wirsing’s result settled an old conjecture of P. Erdős and Wintner that every multiplicative function f with −1 ≤ f(n) ≤ 1 had a mean-value. The situation for complex valued multiplicative functions is more delicate. For example, the function f(n) = n (0 6= α ∈ R) does not have a mean-value because 1 x ∑ n≤x n iα ∼ x 1+i...
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ژورنال
عنوان ژورنال: Canadian Journal of Mathematics
سال: 2003
ISSN: 0008-414X,1496-4279
DOI: 10.4153/cjm-2003-047-0