English

Summation functions with nonlinear asymptotic behavior

Number Theory 2023-11-02 v1

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.

Keywords

Cite

@article{arxiv.2311.00005,
  title  = {Summation functions with nonlinear asymptotic behavior},
  author = {Victor Volfson},
  journal= {arXiv preprint arXiv:2311.00005},
  year   = {2023}
}

Comments

14 pages

R2 v1 2026-06-28T13:07:47.085Z