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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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Parity of class numbers and Witt equivalence of quartic fields
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by Stanislav Jakubec, František Marko and Kazimierz Szymiczek PDF
Math. Comp. 64 (1995), 1711-1715 Request permission

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.
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Additional Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Math. Comp. 64 (1995), 1711-1715
  • MSC: Primary 11R29; Secondary 11E81, 11R16
  • DOI: https://doi.org/10.1090/S0025-5718-1995-1308455-1
  • MathSciNet review: 1308455