Parity of class numbers and Witt equivalence of quartic fields-Reference-Cited by-同舟云学术

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Parity of class numbers and Witt equivalence of quartic fields

Published:1995 Issue:212 Volume:64 Page:1711-1715
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Jakubec Stanislav,Marko František,Szymiczek Kazimierz

Abstract

We show that 27 out of the 29 Witt equivalence classes of quartic number fields can be represented by fields of class number 1. It is known that the remaining two classes contain solely fields of even class numbers. We show that these two classes can be represented by fields of class number 2.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1995-64-212/S0025-5718-1995-1308455-1/S0025-5718-1995-1308455-1.pdf

Reference7 articles.

1. Z. I. Borevič and I.R. Šafarevič, Number theory, 3rd rev. ed., "Nauka", Moscow, 1985. (Russian)

2. Enumeration of quartic fields of small discriminant;Buchmann, Johannes;Math. Comp.,1993

3. A. Czogała, Personal communication.

4. Witt equivalence classes of quartic number fields;Jakubec, Stanislav;Math. Comp.,1992

5. Matching Witts with global fields;Perlis, R.,1994

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Computing with quadratic forms over number fields;Journal of Symbolic Computation;2018-11

2. p-Ranks of Class Groups of Witt Equivalent Number Fields;Journal of Number Theory;1999-09

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