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Sziklai's conjecture on the number of points of a plane curve over a finite field IIIopen access
- Authors
- Homma, Masaaki; Kim, Seon Jeong
- Issue Date
- Sep-2010
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Plane curve; Finite field; Rational point; Frobenius nonclassical curve
- Citation
- FINITE FIELDS AND THEIR APPLICATIONS, v.16, no.5, pp 315 - 319
- Pages
- 5
- Indexed
- SCI
SCIE
SCOPUS
- Journal Title
- FINITE FIELDS AND THEIR APPLICATIONS
- Volume
- 16
- Number
- 5
- Start Page
- 315
- End Page
- 319
- ISSN
- 1071-5797
1090-2465
- Abstract
- 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.
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