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

Published online by Cambridge University Press:  20 November 2018

Allison M. Pacelli
Allison M. Pacelli*
Affiliation:
Department of Mathematics, Williams College, Williamstown, MA 01267 e-mail: Allison.Pacelli@williams.edu
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Abstract

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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 $n$.

Keywords

11R2911R58
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 49 , Issue 3 , 01 September 2006 , pp. 448 - 463
Copyright
Copyright © Canadian Mathematical Society 2006

References

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