| Full text | |
| Author(s): |
Reis, Lucas
[1]
Total Authors: 1
|
| Affiliation: | [1] Univ Fed Minas Gerais, Dept Matemat, BR-30123970 Belo Horizonte, MG - Brazil
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | INTERNATIONAL JOURNAL OF NUMBER THEORY; v. 17, n. 04, p. 1013-1027, MAY 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
This paper provides a mean value theorem for arithmetic functions f defined by f(n) = Pi(d vertical bar n) g(d), where g is an arithmetic function taking values in (0, 1] and satisfying some generic conditions. As an application of our main result, we prove that the density mu(q)(n) (respectively, rho(q)(n)) of normal (respectively, primitive) elements in the finite field extension F-qn of F-q are arithmetic functions of (nonzero) mean values. (AU) | |
| FAPESP's process: | 18/03038-2 - Polynomial maps in finite fields and their applications |
| Grantee: | Lucas da Silva Reis |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |