Short interval results for a class of arithmetic functions
Number Theory
2017-08-23 v1
Abstract
Using estimates on Hooley's -function and a short interval version of the celebrated Dirichlet hyperbola principle, we derive an asymptotic formula for a class of arithmetic functions over short segments. Numerous examples are also given.
Cite
@article{arxiv.1605.00072,
title = {Short interval results for a class of arithmetic functions},
author = {Olivier Bordellès},
journal= {arXiv preprint arXiv:1605.00072},
year = {2017}
}
Comments
13 pages