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Summation functions with nonlinear asymptotic behavior (2311.00005v1)
Published 29 Oct 2023 in math.NT
Abstract: The paper considers a universal approach that allows one to quite simply obtain nonlinear asymptotic estimates of various summation functions. It is shown the application of this approach to the asymptotic estimation of divergent Dirichlet series. Several assertions have been proven and numerous examples have been considered.
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