On a basic mean value Theorem with explicit exponents
Number Theory
2020-05-20 v1
Abstract
In this paper we follow a paper from A. Sedunova (2017) regarding R. C. Vaughan's basic mean value Theorem (Acta Arith. 1980) to improve and complete a more general demonstration for a suitable class of arithmetic functions as started by A. C. Cojocaru and M. R. Murty (London Math. Soc. Stud. Texts 2006). As an application we derive a basic mean value Theorem for the von Mangoldt generalized functions.
Cite
@article{arxiv.2005.09543,
title = {On a basic mean value Theorem with explicit exponents},
author = {Matteo Ferrari},
journal= {arXiv preprint arXiv:2005.09543},
year = {2020}
}
Comments
13 pages