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Mean values for a class of arithmetic functions in short intervals. (English) Zbl 07197944

Summary: In this paper, we shall establish a rather general asymptotic formula in short intervals for a class of arithmetic functions and announce two applications about the distribution of divisors of square-full numbers and integers representable as sums of two squares.

MSC:

11N37 Asymptotic results on arithmetic functions
11N60 Distribution functions associated with additive and positive multiplicative functions
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