Mollin, Richard A.2018-09-272018-09-272001-01-01Richard 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/S0161171201010900http://hdl.handle.net/1880/108613https://doi.org/10.11575/PRISM/45662We 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.Journal Article2018-09-27enCopyright © 2001 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.https://doi.org/10.1155/S0161171201010900