Symmetry and folding of continued fractions

Alfred J. Van der Poorten

Journal de théorie des nombres de Bordeaux (2002)

  • Volume: 14, Issue: 2, page 603-611
  • ISSN: 1246-7405

Abstract

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Michel Mendès France's “Folding Lemma” for continued fraction expansions provides an unusual explanation for the well known symmetry in the expansion of a quadratic irrational integer.

How to cite

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Van der Poorten, Alfred J.. "Symmetry and folding of continued fractions." Journal de théorie des nombres de Bordeaux 14.2 (2002): 603-611. <http://eudml.org/doc/248887>.

@article{VanderPoorten2002,
abstract = {Michel Mendès France's “Folding Lemma” for continued fraction expansions provides an unusual explanation for the well known symmetry in the expansion of a quadratic irrational integer.},
author = {Van der Poorten, Alfred J.},
journal = {Journal de théorie des nombres de Bordeaux},
keywords = {continued fractions; folding Lemma},
language = {eng},
number = {2},
pages = {603-611},
publisher = {Université Bordeaux I},
title = {Symmetry and folding of continued fractions},
url = {http://eudml.org/doc/248887},
volume = {14},
year = {2002},
}

TY - JOUR
AU - Van der Poorten, Alfred J.
TI - Symmetry and folding of continued fractions
JO - Journal de théorie des nombres de Bordeaux
PY - 2002
PB - Université Bordeaux I
VL - 14
IS - 2
SP - 603
EP - 611
AB - Michel Mendès France's “Folding Lemma” for continued fraction expansions provides an unusual explanation for the well known symmetry in the expansion of a quadratic irrational integer.
LA - eng
KW - continued fractions; folding Lemma
UR - http://eudml.org/doc/248887
ER -

References

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  1. [1] F.M. Dekking, M. Mendès France, A.J. Van Der Poorten, FOLDS!. Math. Intelligencer4 (1982), 130-138; II: Symmetry disturbed. ibid. 173-181; III: More morphisms. ibid. 190-195. Erratum 5 (1983), page 5. Zbl0493.10003MR684028
  2. [2] M. Mendès France, Sur les fractions continues limitées. Acta Arith.23 (1973), 207-215. Zbl0228.10007MR323727
  3. [3] M. Mendès France, Principe de la symétrie perturbée. Seminar on Number Theory, Paris 1979-80, 77-98, Progr. Math. 12, Birkhäuser, Boston, Mass., 1981. [MR 83a:10089] Zbl0451.10019MR633890
  4. [4] A.J. Van Der Poorten, J. Shallit, Folded continued fractions. J. Number Theory40 (1992), 237-250. Zbl0753.11005MR1149740

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