On certain continued fraction expansions of fixed period length

ArticleOriginal scientific text

Title

Authors ¹, ²

School of MPCE, Macquarie University, Sydney, New South Wales 2109, Australia
Department of Computer Science, University of Manitoba, Winnipeg, Manitoba, Canada R3T 2N2

periodic continued fraction, period length

R. A. Mollin, Quadratics, CRC Press, Boca Raton, 1996.
R. A. Mollin and A. J. van der Poorten, A note on symmetry and ambiguity, Bull. Austral. Math. Soc. 51 (1995), 215-233.
R. A. Mollin, A. J. van der Poorten and H. C. Williams, Halfway to a solution of X²-DY² = -3, J. Théor. Nombres Bordeaux 6 (1994), 421-459.
A. Schinzel, On some problems of the arithmetical theory of continued fractions, Acta Arith. 6 (1961), 393-413.
A. Schinzel, On some problems of the arithmetical theory of continued fractions II, Acta Arith. 7 (1962), 287-298. Corrigendum, Acta Arith. 47 (1986), 295.
H.-J. Stender, Über die Grundeinheit der reell-quadratischen Zahlkörper ℚ(√A²N²+BN+C), J. Reine Angew. Math. 311/312 (1979), 302-306.
M. A. Stern, Zur Theorie der periodischen Kettenbrüche, J. Reine Angew. Math. 8 (1857), 1-102.