| Full text | |
| Author(s): |
Arakelian, Nazar
;
Borges, Herivelto
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Israel Journal of Mathematics; v. 218, n. 1, p. 273-297, MAR 2017. |
| Web of Science Citations: | 3 |
| Abstract | |
For Fermat curves F : aX(n) + bY(n) = Z(n) defined over F-q, we establish necessary and sufficient conditions for F to be F-q-Frobenius nonclassical with respect to the linear system of plane cubics. In the new F-q-Frobenius nonclassical cases, we determine explicit formulas for the number N-q(F) of F-q-rational points on F. For the remaining Fermat curves, nice upper bounds for N-q(F) are immediately given by the Stohr Voloch Theory. (AU) | |
| FAPESP's process: | 13/00564-1 - Rational points on algebraic curves over finite fields. |
| Grantee: | Nazar Arakelian |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |