Zhi-Wei Sun

collaborators

2 papers

math.NT2026

On a polynomial involving quadratic residues modulo primes

Zhi-Wei Sun

Let $p$ be an odd prime, and define $G_{p} (x) = k = 1 \prod (p - 1) /2 (x - e^{2 I ¨ i k^{2} / p}) .$ In this paper we study values of $G_{p} (x)$ at roots of unity via Galois theory, an…

math.CO2026

Saddle-Point Asymptotics for Chromatic and Tutte Polynomial Evaluations of Complete Multipartite Graphs

Zhiyang Sun

We develop a saddle-point theory for acyclic orientations and negative chromatic evaluations of complete multipartite graphs, with applications to OEIS A267383, A372326, A372084, A…