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

Voir la notice de l'article provenant de la source Cambridge University Press

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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[1] [1] Berrizbeitia, P. and Elliott, P. D. T. A., On products of shifted primes. Ramanujan J. 2 (1998), 219–223. Google Scholar

[2] [2] Elliott, P. D. T. A., The multiplicative group of rationals generated by the shifted primes, I. J. Reine Angew. Math. 463 (1995), 169–216. Google Scholar

[3] [3] Ruzsa, I. Z., General Multiplicative Functions. Acta Arith. 32 (1977), 313–347. Google Scholar

[4] [4] Wirsing, E., Das asymptotische Verhalten von Summen ¨uber multiplicative Funktionen II. Acta Math. Acad. Sci. Hungar. 18 (1967), 411–467. Google Scholar

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