Zobrazeno 1 - 10
of 129
pro vyhledávání: '"Wang, Haowu"'
Autor:
Li, Jialin, Wang, Haowu
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 under a linear condition, respectively. These formulas are given as $
Externí odkaz:
http://arxiv.org/abs/2405.14710
The Freudenthal--Tits magic square $\mathfrak{m}(\mathbb{A}_1,\mathbb{A}_2)$ for $\mathbb{A}=\mathbb{R},\mathbb{C},\mathbb{H},\mathbb{O}$ of semi-simple Lie algebras can be extended by including the sextonions $\mathbb{S}$. A series of non-reductive
Externí odkaz:
http://arxiv.org/abs/2403.14311
Autor:
Gritsenko, Valery, Wang, Haowu
Jacobi theta functions with rational characteristics can be viewed as vector-valued Jacobi forms. Theta relations usually correspond to different constructions of certain Jacobi forms. From this observation, we extract a new approach, which is called
Externí odkaz:
http://arxiv.org/abs/2312.13864
In 1983, Feingold and Frenkel posed a question about possible relations between affine Lie algebras, hyperbolic Kac-Moody algebras and Siegel modular forms. In this paper we give an automorphic answer to this question and its generalization. We class
Externí odkaz:
http://arxiv.org/abs/2312.03234
Autor:
Wang, Haowu, Williams, Brandon
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.
Comment: 13 pages
Comment: 13 pages
Externí odkaz:
http://arxiv.org/abs/2307.14222
$E_{7+1/2}$ is an intermediate Lie algebra filling a hole between $E_7$ and $E_8$ in the Deligne-Cvitanovi\'c exceptional series. It was found independently by Mathur, Muhki, Sen in the classification of 2d RCFTs via modular linear differential equat
Externí odkaz:
http://arxiv.org/abs/2306.09230
Autor:
Wang, Haowu
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 identities imply that root systems are extremal as eutactic stars. In thi
Externí odkaz:
http://arxiv.org/abs/2302.00184
Autor:
Wang, Haowu, Williams, Brandon
Let $l\geq 3$ and $F$ be a modular form of weight $l/2-1$ on $\mathrm{O}(l,2)$ which vanishes only on rational quadratic divisors. We prove that $F$ has only simple zeros and that $F$ is anti-invariant under every reflection fixing a quadratic diviso
Externí odkaz:
http://arxiv.org/abs/2301.13367
Autor:
Wang, Haowu
A modular form on an even lattice $M$ of signature $(l,2)$ is called reflective if it vanishes only on quadratic divisors orthogonal to roots of $M$. In this paper we show that every reflective modular form on a lattice of type $2U\oplus L$ induces a
Externí odkaz:
http://arxiv.org/abs/2301.12606
Autor:
Wang, Haowu
An even lattice $M$ of signature $(n,2)$ is called $2$-reflective if there is a non-constant modular form for the orthogonal group of $M$ which vanishes only on quadratic divisors orthogonal to $2$-roots of $M$. In [Amer. J. Math. 2017] Shouhei Ma pr
Externí odkaz:
http://arxiv.org/abs/2301.11536