Quanyu Tang

collaborators

4 papers

math.CO2026

Global Product Intersection Sets in Semigroups

Wouter van Doorn, Pietro Monticone, Quanyu Tang

For a family $(A_{q})_{q \in Q}$ of subsets of a semigroup, the product intersection set records those exponents $h \in N$ for which the $h$ -fold product set of the intersect…

math.CO2026

On Spielman's Laplacian Eigenratio Conjecture and Related Problems

Jie Ma, Quanyu Tang, Yuchang Wang +1

Let $G$ be an $n$ -vertex graph with Laplacian eigenvalues $0 = λ_{1} (G) \leq λ_{2} (G) \leq \dots \leq λ_{n} (G)$ . Motivated by the Alon-Boppana bound and the Ramanujan phenomenon for regular grap…

math.NT2026

Average first-passage times for character sums

Quanyu Tang, Hao Zhang

Let $ε > 0$ and, for an odd prime $p$ , set $S_{ℓ} (p) := n \leq ℓ \sum (\frac{n}{p}) .$ Define the first-passage time $$ f_\varepsilon(p):=\min\{\ell\ge 1:\ S…

math.NT2025

Harmonic LCM patterns and sunflower-free capacity

Quanyu Tang, Shengtong Zhang

Fix an integer $k \geq 3$ . Call a set $A \subseteq [N]$ LCM- $k$ -free if it does not contain distinct $a_{1}, \dots, a_{k}$ such that $lcm (a_{i}, a_{j})$ is the same for all $1\le i<j\le…