Runlin Zhang

activity

20182026

most citedEquidistribution of translates of a homogeneous measure on the Borel--Serre boundary

3 citations · 3 across the 6 of their papers we have counts for

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math.NT2026

Effective count of integer points on ternary affine quadrics and effective equidistribution

Runlin Zhang

We study the effective equidistribution of certain infinite homogeneous measures and related counting problems through mixing. In this way, we obtain smooth versions of counting th…

math.NT2025

Effective equidistribution, arithmetic purity of strong approximation, and geometric sieve for affine quadrics

Yang Cao, Zhizhong Huang, Runlin Zhang

Let $k$ be a number field. Let $q (x_{1}, \dots, x_{n})$ be a non-degenerate integral quadratic form in $n \geq 3$ variables with coefficients in $k$ and $m \in k^{\times}$ . Let $X$ be the a…

math.NT2021

Counting integral points on indefinite ternary quadratic equations over number fields

Fei Xu, Runlin Zhang

We study an asymptotic formula for counting integral points over an equation defined by a non-degenerated indefinite integral ternary quadratic form $f$ representing a non-zero int…

math.NT2021

Counting integral points on some homogeneous varieties with large reductive stabilizers

Runlin Zhang

Let G be a semisimple group over rational numbers and H is a subgroup over rational numbers. Given a representation of G and an integral vector x whose stabilizer is equal to H. In…