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math.NT2021★ 1 cited
Local Maaß forms and Eichler--Selberg type relations for negative weight vector-valued mock modular forms
Joshua Males, Andreas Mono
By comparing two different evaluations of a modified (à la Borcherds) higher Siegel theta lift on even lattices of signature , we prove Eichler--Selberg type relations for a…
math.NT2021★ 2 cited
Locally harmonic Maaß forms of positive even weight
Andreas Mono
We twist Zagier's function by a sign function and a genus character. Assuming weight , and letting be a positive non-square discriminant, we…
math.NT2021
Higher depth mock theta functions and -hypergeometric series
Joshua Males, Andreas Mono, Larry Rolen
In the theory of harmonic Maass forms and mock modular forms, mock theta functions are distinguished examples which arose from -hypergeometric examples of Ramanujan. Recently, t…