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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

On real quadratic fields of class number two


Authors: R. A. Mollin and H. C. Williams
Journal: Math. Comp. 59 (1992), 625-632
MSC: Primary 11R11; Secondary 11R29
MathSciNet review: 1136224
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Abstract: It is the primary purpose of the paper to determine all real quadratic fields $ Q(\sqrt d )$ of class number $ h(d) = 2$ when $ k \leq 24$ (with one possible exception). Here, k is the period length of the continued fraction expansion of either $ \omega = \sqrt d $, in the case $ d \equiv 2$ or 3 $ \pmod 4$, or of $ \omega = (1 + \sqrt d )/2$, in the case $ d \equiv 1\, \pmod 4$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1992-1136224-1
PII: S 0025-5718(1992)1136224-1
Keywords: Real quadratic field, class number, continued fraction
Article copyright: © Copyright 1992 American Mathematical Society