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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: jwph@sussex.ac.uk
G. KORCHMÁROS
Affiliation:
Dipartimento di Matematica, Università della Basilicata, 85100 Potenza, Italy; e-mail: korchmaros@unibas.it
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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

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