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Improved upper bounds for the number of rational points on algebraic curves over finite fields

โœ Scribed by Kristin Lauter


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
285 KB
Volume
328
Category
Article
ISSN
0764-4442

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Number of Points on the Projective Curve
โœ N. Anuradha; S.A. Katre ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 201 KB

The number of points on the curve aY e =bX e +c (abc{0) defined over a finite field F q , q#1 (mod e), is known to be obtainable in terms of Jacobi sums and cyclotomic numbers of order e with respect to this field. In this paper, we obtain explicitly the Jacobi sums and cyclotomic numbers of order e