Chun-Yen Shen

collaborators

3 papers

math.NT2026

Distribution of simplices in the discrete and continuous settings

Thang Pham, Chun-Yen Shen, Boqing Xue

In this paper, we study the distribution of simplices in both discrete and continuous settings. Let $q$ be an odd prime power, let $Q$ be a nondegenerate quadratic form on $\mathbb…

math.NT2026

On Erdos-Falconer distance problem in even dimensions

Thang Pham, Chun-Yen Shen, Boqing Xue

Let $q$ be an odd prime power and $F_{q}$ be the finite field of order $q$ . We prove an extraction theorem for the ErdÅs-Falconer distance conjecture in even dimensions, sh…

math.AG2026

On the structure and generic non-Cartesianity of polynomials in product spaces

Chun-Yen Shen, Tuyen Trung Truong, Wei-Hsuan Yu

We develop a general theory of Cartesian and non-Cartesian polynomials on products of complex spaces $C^{n_{1}} \times \dots \times C^{n_{k}}$ . We prove that, for an…