On note l’ensemble des nombres dont tous les quotients partiels (autres que le premier) sont inférieurs à . Dans cet article, nous nous intéressons aux produits et quotients d’ensembles du type .
For any positive integer let denote the set of numbers with all partial quotients (except possibly the first) not exceeding . In this paper we characterize most products and quotients of sets of the form .
@article{JTNB_2002__14_2_387_0, author = {Astels, Stephen}, title = {Products and quotients of numbers with small partial quotients}, journal = {Journal de th\'eorie des nombres de Bordeaux}, pages = {387--402}, publisher = {Universit\'e Bordeaux I}, volume = {14}, number = {2}, year = {2002}, mrnumber = {2040683}, zbl = {1074.11034}, language = {en}, url = {http://archive.numdam.org/item/JTNB_2002__14_2_387_0/} }
TY - JOUR AU - Astels, Stephen TI - Products and quotients of numbers with small partial quotients JO - Journal de théorie des nombres de Bordeaux PY - 2002 SP - 387 EP - 402 VL - 14 IS - 2 PB - Université Bordeaux I UR - http://archive.numdam.org/item/JTNB_2002__14_2_387_0/ LA - en ID - JTNB_2002__14_2_387_0 ER -
Astels, Stephen. Products and quotients of numbers with small partial quotients. Journal de théorie des nombres de Bordeaux, Tome 14 (2002) no. 2, pp. 387-402. http://archive.numdam.org/item/JTNB_2002__14_2_387_0/
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