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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Comparison of 4-class ranks of certain quadratic fields
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by Frank Gerth III PDF
Proc. Amer. Math. Soc. 129 (2001), 2547-2552 Request permission

Abstract:

Let $m$ be a square-free positive integer. Let $r_{4}(K)$ denote the 4-class rank of a quadratic field $K$. This paper examines how likely it is for $r_{4}(\mathbb {Q} (\sqrt {-m} )) =r_{4} (\mathbb {Q} (\sqrt {m} ))$ and for $r_{4} (\mathbb {Q} (\sqrt {-m} )) = r_{4} (\mathbb {Q} (\sqrt {m} )) +1$.
References
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Additional Information
  • Frank Gerth III
  • Affiliation: Department of Mathematics, The University of Texas at Austin, Austin, Texas 78712-1082
  • Email: gerth@math.utexas.edu
  • Received by editor(s): January 19, 2000
  • Published electronically: January 23, 2001
  • Communicated by: David E. Rohrlich
  • © Copyright 2001 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 129 (2001), 2547-2552
  • MSC (2000): Primary 11R11, 11R29, 11R45
  • DOI: https://doi.org/10.1090/S0002-9939-01-05922-6
  • MathSciNet review: 1838376