Let F be an algebraic function field of one variable having a finite field Fq with q > 2elements as its field of constants. We determine all such fields for which the class numberis three. More precisely, we show that, up to Fq-isomorphism, there are only 8 of suchfunction fields. For q = 2 the problem has been solved under the additional hypothesisthat the function field is quadratic.
|Numero di pagine||10|
|Stato di pubblicazione||Published - 2012|
All Science Journal Classification (ASJC) codes
- Theoretical Computer Science
- Discrete Mathematics and Combinatorics