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Published in 2019 at "Mathematika"
DOI: 10.1112/s0025579319000081
Abstract: We prove that, for any finite set $A \subset \mathbb Q$ with $|AA| \leq K|A|$ and any positive integer $k$, the $k$-fold product set of the shift $A+1$ satisfies the bound $$| \{(a_1+1)(a_2+1) \cdots (a_k+1)…
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Keywords:
product;
sets shifts;
product sets;
iterated product ... See more keywords