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Quadratic irrationals with fixed period length in the continued fraction expansion
 E. P. Golubeva
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We present an algorithm that makes it possible to write out all quadratic irrationals of the form\(\sqrt D \), that have a given even period length in the continued fraction expansion. It turns out that in the expansion
$$\sqrt D = \left[ {b_0 ,\overline {l_1 ,...,l_L ,...,l_1 ,2b_0 } } \right]$$
 Title
 Quadratic irrationals with fixed period length in the continued fraction expansion
 Journal

Journal of Mathematical Sciences
Volume 70, Issue 6 , pp 20592076
 Cover Date
 199408
 DOI
 10.1007/BF02111323
 Print ISSN
 10723374
 Online ISSN
 15738795
 Publisher
 Kluwer Academic PublishersPlenum Publishers
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