Products and quotients of numbers with small partial quotients
Journal de théorie des nombres de Bordeaux, Tome 14 (2002) no. 2, pp. 387-402
Cet article a éte moissonné depuis la source Numdam
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 .
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 .
@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},
year = {2002},
publisher = {Universit\'e Bordeaux I},
volume = {14},
number = {2},
mrnumber = {2040683},
zbl = {1074.11034},
language = {en},
url = {http://geodesic.mathdoc.fr/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://geodesic.mathdoc.fr/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://geodesic.mathdoc.fr/item/JTNB_2002__14_2_387_0/