A Lower Bound on the Number of Cyclic Function Fields With Class Number Divisible by $n$
Printed: Sep 2006
In this paper, we find a lower bound on the number of cyclic function
fields of prime degree~$l$ whose class numbers are divisible by a
integer $n$. This generalizes a previous result of D. Cardon and R.
which gives a lower bound on the number of quadratic function fields
class numbers divisible by $n$.
11R29 - Class numbers, class groups, discriminants
11R58 - Arithmetic theory of algebraic function fields [See also 14-XX]