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

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

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.

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Veröffentlicht in:The Bulletin of the London Mathematical Society 2001-01, Vol.33 (1), p.16-24
Hauptverfasser: HIRSCHFELD, J. W. P., KORCHMÁROS, G.
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0024-6093
1469-2120
DOI:10.1112/blms/33.1.16