Max Wenqiang Xu

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20242026

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2 papers · 1 filter

math.CO2026

Almost Affine Invariance Over Prime Fields: Green Problem 90

Jie Ma, Quanyu Tang, Max Wenqiang Xu

Let $A \subset F_{p}$ with density 1/2. We call a set $A$ almost affine invariant under an affine transformation $ϕ (x) = a x + b$ if \[|A \triangle ϕ(A)| =o(p).\] We determine tha…

math.CO2026

Roth-type theorems in $K_{s, t}$ -free sets

Yifan Jing, Cosmin Pohoata, Max Wenqiang Xu

We show that for all integers $2 \leq s \leq t$ , any $K_{s, t}$ -free subset of $[N]$ with size $Ω (n^{1 - 1/ s})$ must contain a nontrivial solution to every fixed translation-invariant lin…

Almost Affine Invariance Over Prime Fields: Green Problem 90

Roth-type theorems in Ks,t​-free sets

Roth-type theorems in $K_{s, t}$ -free sets