Korean J. Math.  Vol 24, No 4 (2016)  pp.601-612
DOI: http://dx.doi.org/10.11568/kjm.2016.24.4.601

Average of class numbers of some family of Artin-Schreier extensions of rational function fields

Hwanyup Jung

Abstract


In this paper we obtain average of class numbers of some family of Artin-Schreier extensions of rational function field $\mathbb{F}_{q}(t)$, where $q$ is a power of $3$.

Keywords


Class numbers, $L$-functions, Artin-Schreier extensions

Subject classification

11R20, 11R29, 11R42, 11R58.

Sponsor(s)



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References


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