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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.NT2022
Mathieu moonshine and Borcherds products
Haowu Wang, Brandon Williams
The twisted elliptic genera of a surface associated with the conjugacy classes of the Mathieu group are known to be weak Jacobi forms of weight . In 2010, Cheng co…