Continued fractions and class number two

Richard A. Mollin

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 27, 1-7

Abstract:

We use the theory of continued fractions in conjunction with ideal theory (often called the infrastructure) in real quadratic fields to give new class number 2 criteria and link this to a canonical norm-induced quadratic polynomial. By doing so, this provides a real quadratic field analogue of the well-known result by Hendy (1974) for complex quadratic fields. We illustrate with several examples.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:974082

DOI: 10.1155/S0161171201010900

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