Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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NOTE ON AVERAGE OF CLASS NUMBERS OF CUBIC FUNCTION FIELDS

  • Jung, Hwanyup (Department of Mathematics Education Chungbuk National University)
  • Received : 2014.05.05
  • Accepted : 2014.07.25
  • Published : 2014.09.30
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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.

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References

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Cited by

  1. AVERAGE OF CLASS NUMBERS OF SOME FAMILY OF ARTIN-SCHREIER EXTENSIONS OF RATIONAL FUNCTION FIELDS vol.24, pp.4, 2014, https://doi.org/10.11568/kjm.2016.24.4.601