The main result of this paper is a criterion for linear independence of continued fractions over the rational numbers. The proof is based on their special properties.
Nous donnons un critère d'indépendance linéaire sur le corps des rationnels qui s'applique à une famille donnée de nombres réels dont les développements en fractions continues satisfont certaines conditions.
@article{JTNB_2002__14_2_489_0, author = {Jaroslav Han\v{c}l}, title = {Linear independence of continued fractions}, journal = {Journal de th\'eorie des nombres de Bordeaux}, pages = {489--495}, publisher = {Universit\'e Bordeaux I}, volume = {14}, number = {2}, year = {2002}, zbl = {1067.11039}, mrnumber = {2040689}, language = {en}, url = {https://jtnb.centre-mersenne.org/item/JTNB_2002__14_2_489_0/} }
TY - JOUR AU - Jaroslav Hančl TI - Linear independence of continued fractions JO - Journal de théorie des nombres de Bordeaux PY - 2002 SP - 489 EP - 495 VL - 14 IS - 2 PB - Université Bordeaux I UR - https://jtnb.centre-mersenne.org/item/JTNB_2002__14_2_489_0/ LA - en ID - JTNB_2002__14_2_489_0 ER -
Jaroslav Hančl. Linear independence of continued fractions. Journal de théorie des nombres de Bordeaux, Volume 14 (2002) no. 2, pp. 489-495. https://jtnb.centre-mersenne.org/item/JTNB_2002__14_2_489_0/
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