On the number of solutions of an equation over a finite field

Authors
Hirschfeld, JWP Korchmaros, G
Citation
Jwp. Hirschfeld et G. Korchmaros, On the number of solutions of an equation over a finite field, B LOND MATH, 33, 2001, pp. 16-24
Citations number
12
Categorie Soggetti
Mathematics
Journal title
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY
ISSN journal
00246093 → ACNP
Volume
33
Year of publication
2001
Part
1
Pages
16 - 24
Database
ISI
SICI code
0024-6093(200101)33:<16:OTNOSO>2.0.ZU;2-#
Abstract
The Stohr-Voloch approach is used to obtain a new bound for the number of s olutions in (F-q)(2) of an equation f(X, Y) = 0, where f(X, Y) is an absolu tely irreducible polynomial with coefficients in a finite field F-q.