location:  Publications → journals → CMB
Abstract view

# A Lower Bound on the Number of Cyclic Function Fields With Class Number Divisible by $n$

Published:2006-09-01
Printed: Sep 2006
• Allison M. Pacelli
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
 Format: HTML LaTeX MathJax PDF PostScript

## Abstract

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 given integer $n$. This generalizes a previous result of D. Cardon and R. Murty which gives a lower bound on the number of quadratic function fields with class numbers divisible by $n$.
 MSC Classifications: 11R29 - Class numbers, class groups, discriminants 11R58 - Arithmetic theory of algebraic function fields [See also 14-XX]