논문KCI 등재
4-RANKS OF CLASS GROUPS OF QUADRATIC EXTENSIONS OF CERTAIN QUADRATIC FUNCTION FIELDS
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초록
We obtain some density results for the 4-ranks of class groups of quadratic extensions of quadratic function fields analogous to those results of F. Gerth in the classical case.
Abstract
We obtain some density results for the 4-ranks of class groups of quadratic extensions of quadratic function fields analogous to those results of F. Gerth in the classical case.
참고문헌 (8)
- S. Bae, "ℓ-ranks of class groups of function elds", ~
- A. Costa, "Densities for 4-class ranks of totally complex quadratic extensions of real quadratic elds", J. Number Theory, 54(2), pp.274~286 (1995)
- F. Gerth, "The 4-class ranks of quadratic elds", Invent. Math, 77(3), pp.489~515 (1984)
- F. Gerth, "Limit probabilities for coranks of matrices over GF(q)", Linear and Multilinear Algebra, 19(1), pp.79~93 (1986)
- F. Gerth, "The 4-class ranks of quadratic extensions of certain real quadratic function elds", J. Number Theory, 33(1), pp.18~31 (1989)
- F. Gerth, "The 4-class ranks of quadratic extensions of certain imaginary quadratic elds", Illinois J. Math, 33(1), pp.132~142 (1989)
- F. Halter-Koch, "Ein Satz uber die Geschlechter relativ-zyklischer Zahlkorper von Primzahlgrad und seine Anwendung auf biquadratische-bizyklische Korper", J. Number Theory, 4, pp.144~156 (1972)
- C. Wittmann, "ℓ-class groups of cyclic function elds of degree ℓ", Finite Fields Appl, 13(2), pp.327~347 (2007)
관련 논문AI추천
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