Email this article Extremal Properties of Product Sets
- Authors: Ford K.1
-
Affiliations:
- Department of Mathematics
- Issue: Vol 303, No 1 (2018)
- Pages: 220-226
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175680
- DOI: https://doi.org/10.1134/S0081543818080175
- ID: 175680
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Abstract
We find the nearly optimal size of a set A ⊂ [N]:= {1,...,N} so that the product set AA satisfies either (i) |AA| ~ |A|2/2 or (ii) |AA| ~ |[N][N]|. This settles problems recently posed in a paper of J. Cilleruelo, D. S. Ramana and O. Ramaré.
About the authors
Kevin Ford
Department of Mathematics
Author for correspondence.
Email: ford@math.uiuc.edu
United States, 1409 West Green Street, Urbana, IL, 61801
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