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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Class numbers of real quadratic number fields


Author: Ezra Brown
Journal: Trans. Amer. Math. Soc. 190 (1974), 99-107
MSC: Primary 12A25
DOI: https://doi.org/10.1090/S0002-9947-1974-0364172-9
MathSciNet review: 0364172
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Abstract: This article is a study of congruence conditions, modulo powers of two, on class number of real quadratic number fields $ Q(\sqrt d )$, for which d has at most three distinct prime divisors. Techniques used are those associated with Gaussian composition of binary quadratic forms.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1974-0364172-9
Keywords: Class number, quadratic residues, quadratic fields, algebraic number fields, Gaussian composition, binary quadratic forms
Article copyright: © Copyright 1974 American Mathematical Society