Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-29T04:34:00.463Z Has data issue: false hasContentIssue false
  • English
  • Français

ON THE NUMBER OF SOLUTIONS OF AN EQUATION OVER A FINITE FIELD

Published online by Cambridge University Press:  18 April 2001

J. W. P. HIRSCHFELD  and
G. KORCHMÁROS
J. W. P. HIRSCHFELD
Affiliation:
School of Mathematical Sciences, University of Sussex, Brighton BN1 9QH; e-mail: [email protected]
G. KORCHMÁROS
Affiliation:
Dipartimento di Matematica, Università della Basilicata, 85100 Potenza, Italy; e-mail: [email protected]
Get access

Abstract

The Stöhr–Voloch approach is used to obtain a new bound for the number of solutions in (Fq)2 of an equation f(X, Y) = 0, where f(X, Y) is an absolutely irreducible polynomial with coefficients in a finite field Fq.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 33 , Issue 1 , January 2001 , pp. 16 - 24
Copyright
© The London Mathematical Society 2001

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)