@article {MATHEDUC.05965343,
author = {Bracher, M. and Hetz, S. and Levitt, B. and Ontiveros, M. and Sewell, A.},
title = {Generalized continued fractions in real quadratic fields and Pell's equations.},
year = {2011},
journal = {JP Journal of Algebra, Number Theory and Applications},
volume = {22},
number = {2},
issn = {0972-5555},
pages = {211-223},
publisher = {Pushpa Publishing House, Allahabad, Uttar Pradesh, India},
abstract = {This is the result of a successful research experience for undergraduates (REU) project. The main result is the determination of the Rosen $\lambda$-fraction [{\it D. Rosen}, Duke Math. J. 21, 549--563 (1954; Zbl 0056.30703)] expansion of all units of the ring of integers of $\mathbb Q(\lambda)$ when $\lambda = \sqrt{d}$ with $d>0$ square-free, thus generalizing a result of {\it D. Rosen} and {\it C. Towse} [ Arch. Math. 77, No. 4, 294--302 (2001; Zbl 0992.11034)].},
reviewer = {Thomas Schmidt (Corvallis)},
msc2010 = {F65xx},
identifier = {2013e.00404},
}