ON SOME GENERALIZATIONS OF MEAN VALUE THEOREMS FOR ARITHMETIC FUNCTIONS OF TWO VARIABLES
نویسندگان
چکیده
منابع مشابه
Mean-value Theorems for Multiplicative Arithmetic Functions of Several Variables
Let f : Nn → C be an arithmetic function of n variables, where n ≥ 2. We study the mean-value M(f) of f that is defined to be lim x1,...,xn→∞ 1 x1 · · ·xn ∑ m1≤x1, ... , mn≤xn f(m1, . . . , mn), if this limit exists. We first generalize the Wintner theorem and then consider the multiplicative case by expressing the mean-value as an infinite product over all prime numbers. In addition, we study ...
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ژورنال
عنوان ژورنال: JP Journal of Algebra, Number Theory and Applications
سال: 2016
ISSN: 0972-5555
DOI: 10.17654/nt038020151