Parity of class numbers and witt equivalence of quartic fields

Stanislav Jakubec; František Marko; Kazimierz Szymiczek

doi:10.1090/S0025-5718-1995-1308455-1

Parity of class numbers and witt equivalence of quartic fields

Stanislav Jakubec, František Marko, Kazimierz Szymiczek

Penn State Hazleton

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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.

Original language	English (US)
Pages (from-to)	1711-1715
Number of pages	5
Journal	Mathematics of Computation
Volume	64
Issue number	212
DOIs	https://doi.org/10.1090/S0025-5718-1995-1308455-1
State	Published - Oct 1995

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Computational Mathematics
Applied Mathematics

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10.1090/S0025-5718-1995-1308455-1

Cite this

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title = "Parity of class numbers and witt equivalence of quartic fields",

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.",

author = "Stanislav Jakubec and Franti{\v s}ek Marko and Kazimierz Szymiczek",

year = "1995",

month = oct,

doi = "10.1090/S0025-5718-1995-1308455-1",

language = "English (US)",

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journal = "Mathematics of Computation",

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AU - Jakubec, Stanislav

AU - Marko, František

AU - Szymiczek, Kazimierz

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Y1 - 1995/10

N2 - 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.

AB - 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.

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DO - 10.1090/S0025-5718-1995-1308455-1

M3 - Article

AN - SCOPUS:21844500994

SN - 0025-5718

VL - 64

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JO - Mathematics of Computation

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IS - 212

ER -

Parity of class numbers and witt equivalence of quartic fields

Abstract

All Science Journal Classification (ASJC) codes

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