Jialin Li

collaborators

3 papers

math.NT2025

Jacobi forms of weight one on $I^_{0} (N)$

Jialin Li, Haowu Wang

Let $J_{1, m} (N)$ be the vector space of Jacobi forms of weight one and index $m$ on $I^_{0} (N)$ . In 1985, Skoruppa proved that $J_{1, m} (1) = 0$ for all $m$ . In 2007, Ibukiyama and Skor…

math.NT2025

On the vanishing order of Jacobi forms at infinity

Jialin Li, Haowu Wang

In this paper, we establish two types of upper bounds on the vanishing order of Jacobi forms at infinity. The first type is for classical Jacobi forms, which is optimal in a certai…

math.NT2025

Sums of four polygonal numbers: precise formulas

Jialin Li, Haowu Wang

In this paper we give unified formulas for the numbers of representations of positive integers as sums of four generalized $m$ -gonal numbers, and as restricted sums of four squares…

Jacobi forms of weight one on I^0​(N)

On the vanishing order of Jacobi forms at infinity

Sums of four polygonal numbers: precise formulas

Jacobi forms of weight one on $I^_{0} (N)$