Sziklai's conjecture on the number of points of a plane curve over a finite field III

Homma, Masaaki; Kim, Seon Jeong

doi:10.1016/j.ffa.2010.05.001

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Sziklai's conjecture on the number of points of a plane curve over a finite field III

Homma, Masaaki;
Kim, Seon Jeong

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WEB OF SCIENCE

25

Citations

SCOPUS

28

초록

We manage an upper bound for the number of rational points of a Frobenius nonclassical plane curve over a finite field. Together with previous results, the modified Sziklai conjecture is settled affirmatively. (C) 2010 Elsevier Inc. All rights reserved.

키워드

Plane curve; Finite field; Rational point; Frobenius nonclassical curve

제목: Sziklai's conjecture on the number of points of a plane curve over a finite field III

저자: Homma, Masaaki; Kim, Seon Jeong

DOI: 10.1016/j.ffa.2010.05.001

발행일: 2010-09

유형: Article

저널명: Finite Fields and their Applications

권: 16

호: 5

페이지: 315 ~ 319