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math.CO2018★ 2 cited
A new sum-product estimate in prime fields
Changhao Chen, Bryce Kerr, Ali Mohammadi
In this paper we obtain a new sum-product estimate in prime fields. In particular, we show that if satisfies then $$ \max\{|A\pm A|, |…
math.CO2018
Threshold functions for substructures in random subsets of finite vector spaces
Changhao Chen, Catherine Greenhill
The study of substructures in random objects has a long history, beginning with Erdős and Rényi's work on subgraphs of random graphs. We study the existence of certain substructure…