On summatory arithmetic functions and a Volterra Integral equation
Number Theory
2020-06-09 v1
Abstract
We obtain asymptotic results for well known summatory arithmetic functions, such as and establish connections to new summatory functions. A new Volterra integral equation is offered, which is solved by summatory arithmetic functions. We conclude with some further integral formulas and provide number theoretic formulas as applications.
Cite
@article{arxiv.2006.03934,
title = {On summatory arithmetic functions and a Volterra Integral equation},
author = {Alexander E Patkowski},
journal= {arXiv preprint arXiv:2006.03934},
year = {2020}
}