Brandon Williams

activity

20172026

most citedOn some free algebras of orthogonal modular forms

18 citations · 80 across the 26 of their papers we have counts for

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Showing 2023 · math.NTShow all

2 papers · 2 filters

math.NT2023

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.

math.NT2023★ 1 cited

On the non-existence of singular Borcherds products

Haowu Wang, Brandon Williams

Let $l \geq 3$ and $F$ be a modular form of weight $l /2 - 1$ on $O (l, 2)$ which vanishes only on rational quadratic divisors. We prove that $F$ has only simple zeros and that…