Transcendence measures for continued fractions involving repetitive or symmetric patterns

Boris Adamczewski; Yann Bugeaud

Journal of the European Mathematical Society (2010)

  • Volume: 012, Issue: 4, page 883-914
  • ISSN: 1435-9855

Abstract

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There is a long tradition in constructing explicit classes of transcendental continued fractions and especially transcendental continued fractions with bounded partial quotients. By means of the Schmidt Subspace Theorem, existing results were recently substantially improved by the authors in a series of papers, providing new classes of transcendental continued fractions. It is the purpose of the present work to show how the Quantitative Subspace Theorem yields transcendence measures for (most of) these numbers.

How to cite

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Adamczewski, Boris, and Bugeaud, Yann. "Transcendence measures for continued fractions involving repetitive or symmetric patterns." Journal of the European Mathematical Society 012.4 (2010): 883-914. <http://eudml.org/doc/277772>.

@article{Adamczewski2010,
abstract = {There is a long tradition in constructing explicit classes of transcendental continued fractions and especially transcendental continued fractions with bounded partial quotients. By means of the Schmidt Subspace Theorem, existing results were recently substantially improved by the authors in a series of papers, providing new classes of transcendental continued fractions. It is the purpose of the present work to show how the Quantitative Subspace Theorem yields transcendence measures for (most of) these numbers.},
author = {Adamczewski, Boris, Bugeaud, Yann},
journal = {Journal of the European Mathematical Society},
keywords = {transcendental continued fractions; Quantitative Subspace Theorem; transcendence measures for},
language = {eng},
number = {4},
pages = {883-914},
publisher = {European Mathematical Society Publishing House},
title = {Transcendence measures for continued fractions involving repetitive or symmetric patterns},
url = {http://eudml.org/doc/277772},
volume = {012},
year = {2010},
}

TY - JOUR
AU - Adamczewski, Boris
AU - Bugeaud, Yann
TI - Transcendence measures for continued fractions involving repetitive or symmetric patterns
JO - Journal of the European Mathematical Society
PY - 2010
PB - European Mathematical Society Publishing House
VL - 012
IS - 4
SP - 883
EP - 914
AB - There is a long tradition in constructing explicit classes of transcendental continued fractions and especially transcendental continued fractions with bounded partial quotients. By means of the Schmidt Subspace Theorem, existing results were recently substantially improved by the authors in a series of papers, providing new classes of transcendental continued fractions. It is the purpose of the present work to show how the Quantitative Subspace Theorem yields transcendence measures for (most of) these numbers.
LA - eng
KW - transcendental continued fractions; Quantitative Subspace Theorem; transcendence measures for
UR - http://eudml.org/doc/277772
ER -

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