Continued fractions and transcendental numbers

Boris Adamczewski[1]; Yann Bugeaud[2]; Les Davison[3]

  • [1] Université Claude Bernard Lyon 1 Institut Camille Jordan, CNRS Bât. Braconnier, 21 avenue Claude Bernard 69622 VILLEURBANNE Cedex (FRANCE)
  • [2] Université Louis Pasteur UFR de mathématiques 67084 STRASBOURG Cedex (FRANCE)
  • [3] Laurentian University Department of Mathematics and Computer Science Sudbury, Ontario P3E 2C6 (CANADA)

Annales de l’institut Fourier (2006)

  • Volume: 56, Issue: 7, page 2093-2113
  • ISSN: 0373-0956

Abstract

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The main purpose of this work is to present new families of transcendental continued fractions with bounded partial quotients. Our results are derived thanks to combinatorial transcendence criteria recently obtained by the first two authors in [3].

How to cite

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Adamczewski, Boris, Bugeaud, Yann, and Davison, Les. "Continued fractions and transcendental numbers." Annales de l’institut Fourier 56.7 (2006): 2093-2113. <http://eudml.org/doc/10198>.

@article{Adamczewski2006,
abstract = {The main purpose of this work is to present new families of transcendental continued fractions with bounded partial quotients. Our results are derived thanks to combinatorial transcendence criteria recently obtained by the first two authors in [3].},
affiliation = {Université Claude Bernard Lyon 1 Institut Camille Jordan, CNRS Bât. Braconnier, 21 avenue Claude Bernard 69622 VILLEURBANNE Cedex (FRANCE); Université Louis Pasteur UFR de mathématiques 67084 STRASBOURG Cedex (FRANCE); Laurentian University Department of Mathematics and Computer Science Sudbury, Ontario P3E 2C6 (CANADA)},
author = {Adamczewski, Boris, Bugeaud, Yann, Davison, Les},
journal = {Annales de l’institut Fourier},
keywords = {Continued fractions; transcendental numbers; subspace theorem; transcendence; continued fraction},
language = {eng},
number = {7},
pages = {2093-2113},
publisher = {Association des Annales de l’institut Fourier},
title = {Continued fractions and transcendental numbers},
url = {http://eudml.org/doc/10198},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Adamczewski, Boris
AU - Bugeaud, Yann
AU - Davison, Les
TI - Continued fractions and transcendental numbers
JO - Annales de l’institut Fourier
PY - 2006
PB - Association des Annales de l’institut Fourier
VL - 56
IS - 7
SP - 2093
EP - 2113
AB - The main purpose of this work is to present new families of transcendental continued fractions with bounded partial quotients. Our results are derived thanks to combinatorial transcendence criteria recently obtained by the first two authors in [3].
LA - eng
KW - Continued fractions; transcendental numbers; subspace theorem; transcendence; continued fraction
UR - http://eudml.org/doc/10198
ER -

References

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