18 citations · 78 across the 34 of their papers we have counts for
8 papers · 1 filter
Orbits of Jacobi forms and Theta relations
Valery Gritsenko, Haowu Wang
Jacobi theta functions with rational characteristics can be viewed as vector-valued Jacobi forms. Theta relations usually correspond to different constructions of certain Jacobi fo…
Hyperbolization of Affine Lie Algebras
Kaiwen Sun, Haowu Wang, Brandon Williams
In 1983, Feingold and Frenkel discovered a relation between Siegel modular forms of genus two and a rank-three hyperbolic Kac--Moody algebra extending the affine Lie algebra of typ…
Automorphic products that are singular modulo primes
Haowu Wang, Brandon Williams
We use Rankin--Cohen brackets on O(n, 2) to prove that the Fourier coefficients of reflective Borcherds products often satisfy congruences modulo certain primes.
On intermediate Lie algebra
Kimyeong Lee, Kaiwen Sun, Haowu Wang
is an intermediate Lie algebra filling a hole between and in the Deligne-Cvitanović exceptional series. It was found independently by Mathur, Muhki, Sen in…
There are no extremal eutactic stars other than root systems
Haowu Wang
A eutactic star on an integral lattice is called extremal if it induces a holomorphic Jacobi form of lattice index and singular weight via the theta block. The famous Macdonald ide…
On the classification of reflective modular forms
Haowu Wang
A modular form on an even lattice of signature is called reflective if it vanishes only on quadratic divisors orthogonal to roots of . In this paper we show that eve…
-reflective lattices of signature with
Haowu Wang
An even lattice of signature is called -reflective if there is a non-constant modular form for the orthogonal group of which vanishes only on quadratic divisors…
On the non-existence of singular Borcherds products
Haowu Wang, Brandon Williams
Let and be a modular form of weight on which vanishes only on rational quadratic divisors. We prove that has only simple zeros and that…