Product Bases for the Rationals
Canadian mathematical bulletin, Tome 42 (1999) no. 4, pp. 441-444

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DOI

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.
DOI : 10.4153/CMB-1999-051-9
Mots-clés : 11N99, 11N05
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
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     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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