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DENSITY OF IMAGINARY CUBIC FUNCTION FIELDS HAVING INFINITE HILBERT 3-CLASS FIELD TOWER
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  • Journal title : Honam Mathematical Journal
  • Volume 34, Issue 4,  2012, pp.597-601
  • Publisher : The Honam Mathematical Society
  • DOI : 10.5831/HMJ.2012.34.4.597
 Title & Authors
DENSITY OF IMAGINARY CUBIC FUNCTION FIELDS HAVING INFINITE HILBERT 3-CLASS FIELD TOWER
Jung, Hwanyup;
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 Abstract
In this paper we study the density of imaginary cubic function fields having the infinite Hilbert 3-class field tower.
 Keywords
Density;Hilbert 3-class field tower;imaginary cubic function field;
 Language
English
 Cited by
 References
1.
J. Ahn and H. Jung, Hilbert 2-class field towers of imaginary quadratic function fields. J. Chungcheong Math. Soc. 23 (2010), no 4, 699-704.

2.
H. Jung, Density of class groups of imaginary ${\el}$-cyclic function fields. Finite fields and their applications 17 (2011), 286-293. crossref(new window)

3.
H. Jung, Hilbert 3-class field towers of imaginary cubic function fields. submitted.

4.
M. Rosen, The Hilbert class field in function fields. Exposition. Math. 5 (1987), no. 4, 365-378.

5.
R. Schoof, Algebraic curves over $\mathbb{F}_{2}$ with many rational points. J. Number Theory 41 (1992), no. 1, 6-14. crossref(new window)