Archivio Istituzionale della RicercaWe show that there exists a positive constant C such that the following holds: Given an infinite arithmetic progression A of real numbers and a sufficiently large integer n (depending on A), there is a need of at least Cn geometric progressions to cover the first n terms of A. A similar result is presented, with the role of arithmetic and geometric progressions reversed. © 2014 World Scientific Publishing Company.
Covering an arithmetic progression with geometric progressions and vice versa / Sanna, C.. - In: INTERNATIONAL JOURNAL OF NUMBER THEORY. - ISSN 1793-0421. - STAMPA. - 10:6(2014), pp. 1577-1582. [10.1142/S1793042114500456]
Covering an arithmetic progression with geometric progressions and vice versa
Sanna C.
2014
Abstract
We show that there exists a positive constant C such that the following holds: Given an infinite arithmetic progression A of real numbers and a sufficiently large integer n (depending on A), there is a need of at least Cn geometric progressions to cover the first n terms of A. A similar result is presented, with the role of arithmetic and geometric progressions reversed. © 2014 World Scientific Publishing Company.
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Covering an arithmetic progression with geometric progressions and vice versa.pdf
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https://hdl.handle.net/11583/2789384