On the mean values and distributions of arithmetic functions
نویسندگان
چکیده
منابع مشابه
On The Mean Convergence of Biharmonic Functions
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چکیده ندارد.
15 صفحه اولMean values of multiplicative functions
Let f(n) be a totally multiplicative function such that |f(n)| ≤ 1 for all n, and let F (s) = ∑∞ n=1 f(n)n−s be the associated Dirichlet series. A variant of Halász’s method is developed, by means of which estimates for ∑N n=1 f(n)/n are obtained in terms of the size of |F (s)| for s near 1 with 1. The result obtained has a number of consequences, particularly concerning the zeros of the p...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 1981
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-40-1-63-77