On the Asymptotic Behaviour of Some Towers of Function Fields over Finite Fields *

@inproceedings{Garcia1996OnTA,
  title={On the Asymptotic Behaviour of Some Towers of Function Fields over Finite Fields *},
  author={Arnaldo Garcia},
  year={1996}
}
Let F Fl be an algebraic function field of one variable, whose constant field is the finite field of cardinality l. Weil's theorem states that the number N=N(F ) of places of degree one of F Fl satisfies the estimate N l+1+2g l , (0.1) where g= g(F ) denotes the genus of F. It is well known that for g large with respect to l, the Weil bound (0.1) is not optimal; see [5, 9]. Drinfeld and Vladut [1] proved the following asymptotic result: Let Nl (g) :=max[N(F ) | F is a function field over Fl of… CONTINUE READING
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