논문KCI 등재
Class number divisibility of quadratic function fields in even characteristic
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참고문헌
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초록
We find a lower bound on the number of real/inert imagi- nary/ramified imaginary quadratic extensions of the function field Fq(t) whose ideal class groups have an element of a fixed order, where q is a power of 2.
Abstract
We find a lower bound on the number of real/inert imagi- nary/ramified imaginary quadratic extensions of the function field Fq(t) whose ideal class groups have an element of a fixed order, where q is a power of 2.
참고문헌 (6)
- S. Bae, "Real quadratic function fields of Richaud-Degert type with ideal class number one", Proc. Amer. Math. Soc, 140(2), pp.403~414 (2012)
- D. A. Cardon, "Exponents of class groups of quadratic function fields over finite fields", Canad. Math. Bull, 44(4), pp.398~407 (2001)
- K. Chakraborty, "Exponents of class groups of real quadratic function fields", Proc. Amer. Math. Soc, 132(7), pp.1951~1955 (2004)
- C. Friesen, "Class number divisibility in real quadratic function fields", Canad. Math. Bull, 35(3), pp.361~370 (1992)
- R. Murty, "Exponents of class groups of quadratic fields, Topics in number theory, In Math. Appl., 467", pp.229~239 (1999), Kluwer Acad. Publ.
- R. J. Zuccherato, "The continued fraction algorithm and regulator for quadratic function fields of characteristic 2", J. Algebra, 190(2), pp.563~587 (1997)
관련 논문AI추천
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