L-Polynomials of the Curve

ÖZBUDAK F. , SAYGI Z.

5th International Workshop on the Arithmetic of Finite Fields (WAIFI), Gebze, Türkiye, 27 - 28 Eylül 2014, cilt.9061, ss.171-183 identifier identifier

  • Cilt numarası: 9061
  • Doi Numarası: 10.1007/978-3-319-16277-5_10
  • Basıldığı Şehir: Gebze
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.171-183

Özet

Let chi be a smooth, geometrically irreducible and projective curve over a finite field F-q of odd characteristic. The L-polynomial L-chi(t) of chi determines the number of rational points of chi not only over F-q but also over F-qs for any integer s >= 1. In this paper we determine L-polynomials of a class of such curves over F-q.