Quotient and product sets of thin subsets of the positive integers


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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.

作者简介

Javier Cilleruelo

Instituto de Ciencias Matemáticas (CSIC-UAM-UC3M-UCM) and Departamento de Matemáticas

Email: suri@hri.res.in
西班牙, Madrid, 28049

D. Ramana

Harish-Chandra Research Institute

编辑信件的主要联系方式.
Email: suri@hri.res.in
印度, Chhatnag Road, Jhunsi, Allahabad, 211 019

O. Ramaré

CNRS / Institut de Mathématiques de Marseille

Email: suri@hri.res.in
法国, UMR 7373, Site Sud, Campus de Luminy, Case 907, Marseille Cedex 9, 13288

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