On a basic mean value Theorem with explicit exponents

2020/05/19 by Ferrari, Matteo
#11N13 #11N35 #11N36 #11N37 #FOS: Mathematics #Number Theory (math.NT) #Primary #Secondary

paper · doi:10.48550/arxiv.2005.09543

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.

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