2 papers
math.NT2025
Quadratic Forms, Exact Covering Systems, and Product Identities for Theta Functions
Zhu Cao
In this paper, we establish a connection between integral quadratic forms and exact covering systems (ECS) and present a structural framework for a class of product identities invo…
math.NT2010
Integer Matrix Exact Covering Systems and Product Identities for Theta Functions
Zhu Cao
In this paper, we prove that there is a natural correspondence between product identities for theta functions and integer matrix exact covering systems. We show that since $\mathbb…