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Mathematics > General Mathematics
Title: Some questions of connection between summation functions and the corresponding Dirichlet series
(Submitted on 10 Apr 2024)
Abstract: The paper proves a generalization of Wintner's theorem on the asymptotics of summation functions to the case of summation functions with nonlinear asymptotics. The class of arithmetic functions that have a logarithmic asymptotic mean is studied. The Kronecker lemma is generalized to the case when the corresponding Dirichlet series diverges. Several assertions are proven and illustrative examples are given.
Submission history
From: Victor Leonidovich Volfson [view email][v1] Wed, 10 Apr 2024 06:44:14 GMT (295kb)
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