Nonsingular zeros of quintic forms over finite fields

David B. Leep; Charles C. Yeomans

doi:10.1216/rmjm/1181072036

Nonsingular zeros of quintic forms over finite fields

David B. Leep, Charles C. Yeomans

Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

Let f be a nondegenerate homogeneous polynomial of degree 5defined over the finite field Fq in at least six variables. We show that if q > 101, then f has a nonsingular F_q-rational zero.

Original language	English
Pages (from-to)	1043-1055
Number of pages	13
Journal	Rocky Mountain Journal of Mathematics
Volume	26
Issue number	3
DOIs	https://doi.org/10.1216/rmjm/1181072036
State	Published - 1996

ASJC Scopus subject areas

General Mathematics

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abstract = "Let f be a nondegenerate homogeneous polynomial of degree 5defined over the finite field Fq in at least six variables. We show that if q > 101, then f has a nonsingular Fq-rational zero.",

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Nonsingular zeros of quintic forms over finite fields

Abstract

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