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Remark on the class number of $ {\bf Q}(\sqrt{2p})$ modulo $ 8$ for $ p\equiv 5\;({\rm mod}\,8)$ a prime


Authors: Kenneth S. Williams and Christian Friesen
Journal: Proc. Amer. Math. Soc. 93 (1985), 198-200
MSC: Primary 11R11; Secondary 11R29
MathSciNet review: 770517
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Abstract: An explicit congruence modulo 8 is given for the class number of the real quadratic field $ Q(\sqrt {2p} )$, where $ p$ is a prime congruent to 5 modulo 8.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1985-0770517-0
Keywords: Quadratic fields, class number, fundamental unit, Dirichlet class number formula
Article copyright: © Copyright 1985 American Mathematical Society