Continued fractions and class number two
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2001-01-01
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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 acanonical 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 withseveral examples.
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Richard A. Mollin, “Continued fractions and class number two,” International Journal of Mathematics and Mathematical Sciences, vol. 27, no. 9, pp. 565-571, 2001. doi:10.1155/S0161171201010900