29 citations · 90 across the 22 of their papers we have counts for
4 papers · 1 filter
Class Numbers, Congruent Numbers and Umbral Moonshine
Miranda C. N. Cheng, John F. R. Duncan, Michael H. Mertens
In earlier work we initiated a program to study relationships between finite groups and arithmetic geometric invariants of modular curves in a systematic way. In the present work w…
On Kleinian mock modular forms
Claudia Alfes-Neumann, Michael Mertens
We give an explicit and computationally efficient construction of harmonic weak Maass forms which map to weight newforms under the -operator. Our work uses a new non-analyti…
Hecke eigenforms for meromorphic cusp forms
Kathrin Bringmann, Ben Kane, Michael H. Mertens
In this paper, we construct Hecke eigenforms for two families of quotient spaces of meromorphic cusp forms on . We show that each quotient space in the f…
On Jacobi--Weierstrass mock modular forms
Claudia Alfes-Neumann, Jens Funke, Michael Mertens +1
We construct harmonic weak Maass forms that map to cusp forms of weight with rational coefficients under the -operator. This generalizes work of the first author, Grif…