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Units and Class Numbers of Real Quadratic Fields

Published online by Cambridge University Press:  22 January 2016

Hideo Yokoi
Hideo Yokoi*
Affiliation:
Mathematical Institute, Nagoya University
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The aim of this paper is to prove the following main theorem:

THEOREM. For the discriminant d>0 of a real quadratic field let (x,y) = (t,u) be the least positive integral solution of Pell’s equation x2 — dy2 = 4 and put and denote by hd the ideal class number.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 37 , March 1970 , pp. 61 - 65
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1970

References

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