Product Bases for the Rationals
Canadian mathematical bulletin, Tome 42 (1999) no. 4, pp. 441-444
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A sequence of positive rationals generates a subgroup of finite index in the multiplicative positive rationals, and group product representations by the sequence need only a bounded number of terms, if and only if certain related sequences have densities uniformly bounded from below.
Berrizbeitia, P.; Elliott, P. D. T. A. Product Bases for the Rationals. Canadian mathematical bulletin, Tome 42 (1999) no. 4, pp. 441-444. doi: 10.4153/CMB-1999-051-9
@article{10_4153_CMB_1999_051_9,
author = {Berrizbeitia, P. and Elliott, P. D. T. A.},
title = {Product {Bases} for the {Rationals}},
journal = {Canadian mathematical bulletin},
pages = {441--444},
year = {1999},
volume = {42},
number = {4},
doi = {10.4153/CMB-1999-051-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1999-051-9/}
}
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