Some questions of connection between summation functions and the corresponding Dirichlet series

Autor:	Volfson, Victor
Rok vydání:	2024
Předmět:	Mathematics - General Mathematics 11N37
Druh dokumentu:	Working Paper
Popis:	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. Comment: 13 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2404.08012 Zobrazit plný text záznamu View this record from Arxiv