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math.CO2026
Combinatorial theorems relative to sparse sets
David Conlon
A key theme in modern extremal combinatorics is the study of classical combinatorial theorems relative to sparse subsets of their natural settings. Here we describe some of the rec…
math.NT2026
Simultaneous popular polynomial differences over finite fields
David Conlon, Dingding Dong, Guo-Dong Hong
Green's popular difference theorem says that for every \(\varepsilon>0\), all sufficiently large primes \(p\), and every set \(A\subseteq\mathbb F_p\) of density \(α\), there exist…