Zonglin Li

collaborators

2 papers

math.NT2023

On the number variance of sequences with small additive energy

Zonglin Li, Nadav Yesha

For a real-valued sequence $(x_{n})_{n = 1}^{\infty}$ , denote by $S_{N} (ℓ)$ the number of its first $N$ fractional parts lying in a random interval of size $ℓ := L / N$ , where $L = o (N)$ a…

math.NT2023

Geometry and distribution of roots of $μ^{2} \equiv D mod m$ with $D \equiv 1 mod 4$

Zonglin Li, Matthew Welsh

We extend the geometric interpretation of the roots of the quadratic congruence $μ^{2} \equiv D (mod m)$ as the tops of certain geodesics in the hyperbolic plane to the case when $D$ …

On the number variance of sequences with small additive energy

Geometry and distribution of roots of μ2≡Dmodm with D≡1mod4

Geometry and distribution of roots of $μ^{2} \equiv D mod m$ with $D \equiv 1 mod 4$