On the integer points on some special hyper-elliptic curves over a finite field
β Scribed by P. Chowla; S. Chowla
- Publisher
- Elsevier Science
- Year
- 1976
- Tongue
- English
- Weight
- 92 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0022-314X
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π SIMILAR VOLUMES
## Abstract In this paper we study the Newton polygon of the __L__ βpolynomial __L__ (__t__) associate to the Picard curves __y__^3^ = __x__^4^ β 1,β__y__^3^ = __x__^4^ β __x__ defined over a finite field π½~__p__~ . In the former case we get a complete classification. In the latter case we obtai
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