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20172026
most citedPowers of Jacobi triple product, Cohen's numbers and the Ramanujan -function

8 citations · 19 across the 11 of their papers we have counts for

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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.NT2024

Jacobi forms of weight one on

Jialin Li, Haowu Wang

Let be the vector space of Jacobi forms of weight one and index on . In 1985, Skoruppa proved that for all . In 2007, Ibukiyama and Skoru…

math.NT2021

Siegel modular forms of degree two and level five

Haowu Wang, Brandon Williams

We construct a ring of meromorphic Siegel modular forms of degree 2 and level 5, with singularities supported on an arrangement of Humbert surfaces, which is generated by four sing…

math.NT2021

Graded rings of Hermitian modular forms with singularities

Haowu Wang, Brandon Williams

We study graded rings of meromorphic Hermitian modular forms of degree two whose poles are supported on an arrangement of Heegner divisors. For the group $\mathrm{SU}_{2,2}(\mathca…

math.NT20212 cited

Free algebras of modular forms on ball quotients

Haowu Wang, Brandon Williams

In this paper we study algebras of modular forms on unitary groups of signature . We give a necessary and sufficient condition for an algebra of unitary modular forms to be…

math.NT2021

On weak Jacobi forms of rank two

Haowu Wang, Brandon Williams

We study a ring of weak Jacobi forms indexed by integral lattices of rank two. We find an explicit finite set of generators of this ring and give a dimension formula for weak Jacob…