On certain continued fraction expansions of fixed period length

• Autorzy: A. J. van der Poorten , H. C. Williams
• Języki publikacji: EN

Słowa kluczowe

EN

periodic continued fraction; period length

Kategorie tematyczne

• 30B70: Continued fractions
• 11A55: Continued fractions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1999
• Tom: 89
• Numer: 1
• Strony: 23-35

Daty

wydano

1999

otrzymano

1997-05-20

poprawiono

1998-11-13

Twórcy

autor

A. J. van der Poorten

• School of MPCE, Macquarie University, Sydney, New South Wales 2109, Australia

autor

H. C. Williams

• Department of Computer Science, University of Manitoba, Winnipeg, Manitoba, Canada R3T 2N2

Bibliografia

• [1] R. A. Mollin, Quadratics, CRC Press, Boca Raton, 1996.
• [2] R. A. Mollin and A. J. van der Poorten, A note on symmetry and ambiguity, Bull. Austral. Math. Soc. 51 (1995), 215-233.
• [3] 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.
• [4] A. Schinzel, On some problems of the arithmetical theory of continued fractions, Acta Arith. 6 (1961), 393-413.
• [5] 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.
• [6] H.-J. Stender, Über die Grundeinheit der reell-quadratischen Zahlkörper ℚ(√A²N²+BN+C), J. Reine Angew. Math. 311/312 (1979), 302-306.
• [7] M. A. Stern, Zur Theorie der periodischen Kettenbrüche, J. Reine Angew. Math. 8 (1857), 1-102.