Remote Access Mathematics of Computation
Green Open Access

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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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$.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 11R11, 11R29

Retrieve articles in all journals with MSC: 11R11, 11R29

Additional Information

Keywords: Real quadratic field, class number, continued fraction
Article copyright: © Copyright 1992 American Mathematical Society