On certain continued fraction expansions of fixed period length

A. J. van der Poorten; H. C. Williams

Acta Arithmetica (1999)

  • Volume: 89, Issue: 1, page 23-35
  • ISSN: 0065-1036

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A. J. van der Poorten, and H. C. Williams. "On certain continued fraction expansions of fixed period length." Acta Arithmetica 89.1 (1999): 23-35. <http://eudml.org/doc/207256>.

@article{A1999,
author = {A. J. van der Poorten, H. C. Williams},
journal = {Acta Arithmetica},
keywords = {periodic continued fraction; period length; fundamental unit; real quadratic field},
language = {eng},
number = {1},
pages = {23-35},
title = {On certain continued fraction expansions of fixed period length},
url = {http://eudml.org/doc/207256},
volume = {89},
year = {1999},
}

TY - JOUR
AU - A. J. van der Poorten
AU - H. C. Williams
TI - On certain continued fraction expansions of fixed period length
JO - Acta Arithmetica
PY - 1999
VL - 89
IS - 1
SP - 23
EP - 35
LA - eng
KW - periodic continued fraction; period length; fundamental unit; real quadratic field
UR - http://eudml.org/doc/207256
ER -

References

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  1. [1] R. A. Mollin, Quadratics, CRC Press, Boca Raton, 1996. 
  2. [2] R. A. Mollin and A. J. van der Poorten, A note on symmetry and ambiguity, Bull. Austral. Math. Soc. 51 (1995), 215-233. Zbl0824.11003
  3. [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. Zbl0820.11015
  4. [4] A. Schinzel, On some problems of the arithmetical theory of continued fractions, Acta Arith. 6 (1961), 393-413. Zbl0099.04003
  5. [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. Zbl0112.28001
  6. [6] H.-J. Stender, Über die Grundeinheit der reell-quadratischen Zahlkörper ℚ(√A²N²+BN+C), J. Reine Angew. Math. 311/312 (1979), 302-306. Zbl0409.12004
  7. [7] M. A. Stern, Zur Theorie der periodischen Kettenbrüche, J. Reine Angew. Math. 8 (1857), 1-102. 

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