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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…
math.NT2022
The fake monster algebra and singular Borcherds products
Haowu Wang, Brandon Williams
In this paper we consider several problems in the theory of automorphic products and generalized Kac--Moody algebras proposed by Borcherds in 1995. We show that the denominator of…