Bernstein, Leon Fundamental units and cycles. I. (English) Zbl 0352.10002 J. Number Theory 8, 446-491 (1976). Cet ouvrage est une version détaillé d’un autre ouvrage [Pac. J. Math. 63, 37–61 (1976; Zbl 0335.10010)]. Le but principal est de donner une déscription explicite du dévelopement en fraction continue pour certaines classes de racines quadratiques. Reviewer: Fritz Schweiger (Salzburg) Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 2 Documents MSC: 11A55 Continued fractions 11R11 Quadratic extensions 11R27 Units and factorization Citations:Zbl 0335.10010 × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Bernstein, L., The Jacobi-Perron Algorithm, Its Theory and Application, (Lecture Notes in Mathmeatics Np. 207 (1971), Springer-Verlag: Springer-Verlag New York/Berlin), 1-160 · Zbl 0213.05201 [2] L. BernsteinAmer. Math. Monthly; L. BernsteinAmer. Math. Monthly [3] Degert, G., Über die Bestimmung der Grundeinheit gewisser rell-quadratischer Zahlkörper, Hamburger Math. Abh., 22, 92-97 (1958) · Zbl 0079.05803 [4] Muir, Th, The expression of a quadratic surd as a continued fraction, Glasgow Math. J. (1874) [5] Muir, Th, A new special class of determinants, (Proc. Edinburgh Math. Soc., 8 (1874)) · JFM 41.0187.04 [6] O. Perron,Chelsea,; O. Perron,Chelsea, [7] Yamamoto, Y., Real quadratic number fields with large fundamental units, Osaka J. Math., 8, 261-271 (1971) · Zbl 0243.12001 [8] Zassenhaus, H., Units of orders, J. Algebra, 20, 368-395 (1972) · Zbl 0227.16006 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.