Continued fractions and class number two

dc.contributor.author	Mollin, Richard A.
dc.date.accessioned	2018-09-27T12:25:57Z
dc.date.available	2018-09-27T12:25:57Z
dc.date.issued	2001-01-01
dc.date.updated	2018-09-27T12:25:57Z
dc.description.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.
dc.description.version	Peer Reviewed
dc.identifier.citation	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
dc.identifier.doi	https://doi.org/10.1155/S0161171201010900
dc.identifier.uri	http://hdl.handle.net/1880/108613
dc.identifier.uri	https://doi.org/10.11575/PRISM/45662
dc.language.rfc3066	en
dc.rights.holder	Copyright © 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.
dc.title	Continued fractions and class number two
dc.type	Journal Article