ℓ-RANKS OF CLASS GROUPS OF FUNCTION FIELDS

Title & Authors
ℓ-RANKS OF CLASS GROUPS OF FUNCTION FIELDS
Bae, Sung-Han; Jung, Hwan-Yup;

Abstract
In this paper we give asymptotic formulas for the number of $\small{{\ell}}$-cyclic extensions of the rational function field $\small{k=\mathbb{F}_q(T)}$ with prescribe $\small{{\ell}}$-class numbers inside some cyclotomic function fields, and density results for $\small{{\ell}}$-cyclic extensions of k with certain properties on the ideal class groups.
Keywords
class groups;function fields;
Language
English
Cited by
1.
DENSITIES FOR 4-RANKS OF REAL QUADRATIC FUNCTION FIELDS,;

충청수학회지, 2014. vol.27. 4, pp.553-562
1.
DENSITIES FOR 4-RANKS OF REAL QUADRATIC FUNCTION FIELDS, Journal of the Chungcheong Mathematical Society , 2014, 27, 4, 553
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