Email this article Quotient and product sets of thin subsets of the positive integers
- Authors: Cilleruelo J.1, Ramana D.S.2, Ramaré O.3
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Affiliations:
- Instituto de Ciencias Matemáticas (CSIC-UAM-UC3M-UCM) and Departamento de Matemáticas
- Harish-Chandra Research Institute
- CNRS / Institut de Mathématiques de Marseille
- Issue: Vol 296, No 1 (2017)
- Pages: 52-64
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/174198
- DOI: https://doi.org/10.1134/S0081543817010059
- ID: 174198
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Abstract
We study the cardinalities of A/A and AA for thin subsets A of the set of the first n positive integers. In particular, we consider the typical size of these quantities for random sets A of zero density and compare them with the sizes of A/A and AA for subsets of the shifted primes and the set of sums of two integral squares.
About the authors
Javier Cilleruelo
Instituto de Ciencias Matemáticas (CSIC-UAM-UC3M-UCM) and Departamento de Matemáticas
Email: suri@hri.res.in
Spain, Madrid, 28049
D. S. Ramana
Harish-Chandra Research Institute
Author for correspondence.
Email: suri@hri.res.in
India, Chhatnag Road, Jhunsi, Allahabad, 211 019
O. Ramaré
CNRS / Institut de Mathématiques de Marseille
Email: suri@hri.res.in
France, UMR 7373, Site Sud, Campus de Luminy, Case 907, Marseille Cedex 9, 13288
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