NOTE ON AVERAGE OF CLASS NUMBERS OF CUBIC FUNCTION FIELDS
Hwanyup Jung · Korean Journal of Mathematics · 2014
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.