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20192022
most citedOn product sets of arithmetic progressions

2 citations · 2 across the 6 of their papers we have counts for

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Showing 2022Show all

3 papers · 1 filter

math.CO2022

A note on directed analogues of the Sidorenko and forcing conjectures

Jacob Fox, Zoe Himwich, Nitya Mani +1

We study analogues of Sidorenko's conjecture and the forcing conjecture in oriented graphs, showing that natural variants of these conjectures in directed graphs are equivalent to…

math.CO2022

Small subsets with large sumset: Beyond the Cauchy--Davenport bound

Jacob Fox, Sammy Luo, Huy Tuan Pham +1

For a subset of an abelian group , given its size , its doubling , and a parameter which is small compared to , we study the size of the largest s…

math.NT2022★ 2 cited

On product sets of arithmetic progressions

Max Wenqiang Xu, Yunkun Zhou

We prove that the size of the product set of any finite arithmetic progression satisfies \[|\mathcal A \cdot \mathcal A| \ge \frac{|\mathcal A|^2}{(…