Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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ℓ-RANKS OF CLASS GROUPS OF FUNCTION FIELDS

  • Bae, Sung-Han (Department of Mathematics Korea Advanced Institute of Science and Technology) ;
  • Jung, Hwan-Yup (Department of Mathematics Education Chungbuk National University)
  • Received : 2010.08.10
  • Published : 2012.01.01
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Abstract

In this paper we give asymptotic formulas for the number of ${\ell}$-cyclic extensions of the rational function field $k=\mathbb{F}_q(T)$ with prescribe ${\ell}$-class numbers inside some cyclotomic function fields, and density results for ${\ell}$-cyclic extensions of k with certain properties on the ideal class groups.

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References

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Cited by

  1. DENSITIES FOR 4-RANKS OF REAL QUADRATIC FUNCTION FIELDS vol.27, pp.4, 2014, https://doi.org/10.14403/jcms.2014.27.4.553