Affiliation:
1. Departamento de Matemática, Universidade Federal de Minas Gerais, UFMG, Belo Horizonte MG 30123-970, Brazil
Abstract
This paper provides a mean value theorem for arithmetic functions [Formula: see text] defined by [Formula: see text] where [Formula: see text] is an arithmetic function taking values in [Formula: see text] and satisfying some generic conditions. As an application of our main result, we prove that the density [Formula: see text] (respectively, [Formula: see text]) of normal (respectively, primitive) elements in the finite field extension [Formula: see text] of [Formula: see text] are arithmetic functions of (nonzero) mean values.
Funder
Fundação de Amparo à Pesquisa do Estado de São Paulo
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory
Cited by
1 articles.
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