Author

Sheng-Tong Zhang

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Preprint Sep 2026

Maximising the number of solutions to linear equations

We study the asymptotically maximal possible number of integer solutions to the linear equation $ax+by+cz = 0$ with a fixed choice of $a, b, c \in \mathbb{Z}$ and variables $x, y, z \in S$ for some finite set $S\subset \mathbb{Z}$, as $|S|\to +\infty$. Define $\gamma_{a, b, c}$ to be the largest constant for which ther...

Žarko Ranđ Elović, Xuan-Cheng Shao, M. Xu et al. · 0 citations

Review Aug 2026

The Problem Is the Problem: Towards Scalable Mathematical Discovery

Inspired by search and recommender systems, this work builds Find, Attempt, and Recommend (FAR), a literature-to-review cascade that automates the search for suitable problems and focuses human attention on artifacts that have passed several stages of filtering.

Zeyu Zheng, Shengtong Zhang, Jeremy Avigad et al. · 0 citations