- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnline Submission ㆍMy Manuscript - For Reviewers - For Editors
 Bachet equations and cubic resolvents Commun. Korean Math. Soc. 2013 Vol. 28, No. 4, 723-733 https://doi.org/10.4134/CKMS.2013.28.4.723Printed October 1, 2013 Sung Sik Woo Ewha Womans University Abstract : A Bachet equation $Y^2=X^3+k$ will have a rational solution if and only if there is $b\in \Q$ for which $X^3-b^2X^2+k$ is reducible. In this paper we show that such cubics arise as a cubic resolvent of a biquadratic polynomial. And we prove various properties of cubic resolvents. Keywords : Bachet equation, rational solution, resolvent cubi Downloads: Full-text PDF

 Copyright © Korean Mathematical Society. (Rm.1109) The first building, 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail: paper@kms.or.kr   | Powered by INFOrang Co., Ltd