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http://dx.doi.org/10.11568/kjm.2014.22.3.419

NOTE ON AVERAGE OF CLASS NUMBERS OF CUBIC FUNCTION FIELDS  

Jung, Hwanyup (Department of Mathematics Education Chungbuk National University)
Publication Information
Korean Journal of Mathematics / v.22, no.3, 2014 , pp. 419-427 More about this Journal
Abstract
Let $k=\mathbb{F}_q(T)$ be the rational function field over a finite field $\mathbb{F}_q$, where $q{\equiv}1$ mod 3. In this paper, we determine asymptotic values of average of ideal class numbers of some family of cubic Kummer extensions of k.
Keywords
Average of class numbers; cubic function field;
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