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On the number of solutions of systems of certain diagonal equations over finite fields.
- Source :
-
Journal of Number Theory . Jul2022, Vol. 236, p160-187. 28p. - Publication Year :
- 2022
-
Abstract
- In this paper we obtain explicit estimates and existence results on the number of F q -rational solutions of certain systems defined by families of diagonal equations over finite fields. Our approach relies on the study of the geometric properties of the varieties defined by the systems involved. We apply these results to a generalization of Waring's problem and the distribution of solutions of congruences modulo a prime number. [ABSTRACT FROM AUTHOR]
- Subjects :
- *NUMBER systems
*PRIME numbers
*EQUATIONS
*FINITE fields
Subjects
Details
- Language :
- English
- ISSN :
- 0022314X
- Volume :
- 236
- Database :
- Academic Search Index
- Journal :
- Journal of Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 155815470
- Full Text :
- https://doi.org/10.1016/j.jnt.2021.07.015