Geodesic
Transcendence measures for continued fractions involving repetitive or symmetric patterns
Journal of the European Mathematical Society, Tome 12 (2010) no. 4, pp. 883-914.

Voir la notice de l'article provenant de la source EMS Press

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.
DOI : 10.4171/jems/218
Classification : 11-XX, 00-XX 
@article{JEMS_2010_12_4_a2,
     author = {Boris Adamczewski and Yann Bugeaud},
     title = {Transcendence measures for continued fractions involving repetitive or symmetric patterns},
     journal = {Journal of the European Mathematical Society},
     pages = {883--914},
     publisher = {mathdoc},
     volume = {12},
     number = {4},
     year = {2010},
     doi = {10.4171/jems/218},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/218/}
}
TY  - JOUR
AU  - Boris Adamczewski
AU  - Yann Bugeaud
TI  - Transcendence measures for continued fractions involving repetitive or symmetric patterns
JO  - Journal of the European Mathematical Society
PY  - 2010
SP  - 883
EP  - 914
VL  - 12
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4171/jems/218/
DO  - 10.4171/jems/218
ID  - JEMS_2010_12_4_a2
ER  - 
%0 Journal Article
%A Boris Adamczewski
%A Yann Bugeaud
%T Transcendence measures for continued fractions involving repetitive or symmetric patterns
%J Journal of the European Mathematical Society
%D 2010
%P 883-914
%V 12
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4171/jems/218/
%R 10.4171/jems/218
%F JEMS_2010_12_4_a2
Boris Adamczewski; Yann Bugeaud. Transcendence measures for continued fractions involving repetitive or symmetric patterns. Journal of the European Mathematical Society, Tome 12 (2010) no. 4, pp. 883-914. doi : 10.4171/jems/218. http://geodesic.mathdoc.fr/articles/10.4171/jems/218/

Cité par Sources :