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On the number of divisors in arithmetical semigroups. (English) Zbl 1274.11149

Summary: The generalized divisor function, defined on an arithmetical semigroup, is considered. The asymptotic formula for its mean value is obtained.

MSC:

11N45 Asymptotic results on counting functions for algebraic and topological structures
11N80 Generalized primes and integers
11K65 Arithmetic functions in probabilistic number theory
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