Quanyu Tang

most citedPrimitive sets and von Mangoldt chains: ErdÅs Problem #1196 and beyond

1 citations · 1 across the 9 of their papers we have counts for

collaborators

11 papers

math.CO2026

Supersaturation in Nosal graphs: Triangles and books

Hongzhang Chen, Yongtao Li, Quanyu Tang

In this paper, we use the spectral surplus $I^» (G) - m$ to measure how far $G$ lies above the Nosal threshold, and prove the following edge-spectral supersaturation results f…

math.AP2026

Sharp ratios for low-index Neumann eigenvalues on convex domains

Quanyu Tang, Haiqi Zhang

Let $I^c ◯ \subset R^{N}$ be a bounded open convex set, and let $0 = I^¼_{0} (I^c ◯) < I^¼_{1} (I^c ◯) \leq I^¼_{2} (I^c ◯) \leq \dots$ be the Neumann eigenvalues of the Laplacian, repeated according to mult…

math.AP2026

The Ashbaugh--Benguria reciprocal-gap conjecture for Dirichlet eigenvalues

Yanyang Li, Quanyu Tang, Haiqi Zhang

We prove the Ashbaugh--Benguria reciprocal-gap conjecture for the Dirichlet Laplacian in every dimension $N \geq 2$ . Specifically, if $I^c ◯ \subset R^{N}$ is a bounded domain and $$…

math.CO2026

Path-Minimality of $p$ -Energy for Connected Graphs

Yinchen Liu, Quanyu Tang

Let $G$ be a simple connected graph on $n$ vertices, and let $I^»_{1} (G), I^»_{2} (G), \dots, I^»_{n} (G)$ be the eigenvalues of its adjacency matrix $A (G)$ . For $p > 0$ , define the $p$ -energy of…

math.AP2026

A sharp fixed-volume product inequality for the first $N$ nonzero Steklov eigenvalues

Haiqi Zhang, Quanyu Tang, Yanyang Li

We prove a sharp fixed-volume product inequality for the first $N$ nonzero Steklov eigenvalues of bounded Lipschitz domains in $R^{N}$ . More precisely, if $N \geq 2$ and $Î©\sub…

math.NT2026

Consecutive integers free of certain prime factors

Wouter van Doorn, Quanyu Tang

Let $n_{k}$ denote the least integer $n > 2 k$ such that $(n - k) (n - k + 1) \dots (n - 1)$ is not divisible by any prime in the interval $(k, 2 k)$ . Confirming a conjecture of ErdÅs, we prove th…

Supersaturation in Nosal graphs: Triangles and books

Sharp ratios for low-index Neumann eigenvalues on convex domains

The Ashbaugh--Benguria reciprocal-gap conjecture for Dirichlet eigenvalues

Path-Minimality of p-Energy for Connected Graphs

A sharp fixed-volume product inequality for the first N nonzero Steklov eigenvalues

Consecutive integers free of certain prime factors

Path-Minimality of $p$ -Energy for Connected Graphs

A sharp fixed-volume product inequality for the first $N$ nonzero Steklov eigenvalues