Premium
On the Number of Solutions of an Equation Over a Finite Field
Author(s) -
Hirschfeld J. W. P.,
Korchmáros G.
Publication year - 2001
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/33.1.16
Subject(s) - mathematics , finite field , field (mathematics) , polynomial , irreducible polynomial , pure mathematics , discrete mathematics , mathematical analysis , matrix polynomial
The Stöhr–Voloch approach is used to obtain a new bound for the number of solutions in ( F q ) 2 of an equation f ( X , Y ) = 0, where f ( X , Y ) is an absolutely irreducible polynomial with coefficients in a finite field F q .