On the Mean Value of Nonnegative Multiplicative Number-theoretical Functions
نویسنده
چکیده
exists . The question of the existence of the mean value M(g) has been much studied, but it has been solved only for certain subclasses . One of the definite results is the following theorem, due to H . Delange [2] (throughout the paper, p denotes a prime, and E and n denote a sum ana a product, respectively, taken over all primes) : p . p If g(n) is a strongly multiplicative number-theoretical function such that i g(n) I < 1 for n = 1, 2, • • • , and such that the series
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تاریخ انتشار 2004