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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



On complex quadratic fields wth class-number two

Author: H. M. Stark
Journal: Math. Comp. 29 (1975), 289-302
MSC: Primary 12A25; Secondary 12A50
MathSciNet review: 0369313
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Abstract: Let $d < 0$ be the discriminant of a complex quadratic field of class-number $h(d)$. In a previous paper the author has effectively shown how to find all d with $h(d) = 2$. In this paper, it is proved that, if $h(d) = 2$, then $|d|\; \leqslant 427$.

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Keywords: Class-number, quadratic field, binary quadratic forms, zeta functions
Article copyright: © Copyright 1975 American Mathematical Society