Geodesic
On some multiplicative properties of large difference sets
Canadian journal of mathematics, Tome 76 (2024) no. 5, pp. 1538-1555

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DOI

In our paper, we study multiplicative properties of difference sets $A-A$ for large sets $A \subseteq {\mathbb {Z}}/q{\mathbb {Z}}$ in the case of composite q. We obtain a quantitative version of a result of A. Fish about the structure of the product sets $(A-A)(A-A)$. Also, we show that the multiplicative covering number of any difference set is always small.
DOI : 10.4153/S0008414X23000500
Mots-clés : Difference sets, sum-product, exponential sums, incidences 
Shkredov, Ilya D. On some multiplicative properties of large difference sets. Canadian journal of mathematics, Tome 76 (2024) no. 5, pp. 1538-1555. doi: 10.4153/S0008414X23000500
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     title = {On some multiplicative properties of large difference sets},
     journal = {Canadian journal of mathematics},
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     year = {2024},
     volume = {76},
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     doi = {10.4153/S0008414X23000500},
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