On the Number of Zeros Over a Finite Field of Certain Symmetric Polynomials

On the Number of Zeros Over a Finite Field of Certain Symmetric Polynomials

A variety of applications depend on the number of solutions of polynomial equations over finite fields. Here the usual situation is reversed and we show how to use geometrical methods to estimate the number of solutions of a non-homogeneous symmetric equation in three variables.

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Veröffentlicht in:Canadian mathematical bulletin 1980-09, Vol.23 (3), p.327-332
Hauptverfasser: Ceccherini, P. V., Hirschfeld, J. W. P.
Format: Artikel
Sprache:eng
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Zusammenfassung:A variety of applications depend on the number of solutions of polynomial equations over finite fields. Here the usual situation is reversed and we show how to use geometrical methods to estimate the number of solutions of a non-homogeneous symmetric equation in three variables.
ISSN:0008-4395
1496-4287
DOI:10.4153/CMB-1980-046-5