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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the exponent of the ideal class groups of complex quadratic fields.
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by David W. Boyd and H. Kisilevsky
Proc. Amer. Math. Soc. 31 (1972), 433-436
DOI: https://doi.org/10.1090/S0002-9939-1972-0289454-4

Abstract:

Let $m(d)$ denote the exponent of the ideal class group of the complex quadratic field $Q(\surd d)$, where $d < 0$ is a fundamental discriminant. It is shown that there are only finitely many $d$ for which $m(d) = 3$. Assuming the extended Riemann Hypothesis, it is shown that $m(d) \to \infty {\text { as }}|d| \to \infty$.
References
Bibliographic Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 31 (1972), 433-436
  • DOI: https://doi.org/10.1090/S0002-9939-1972-0289454-4
  • MathSciNet review: 0289454