Abstarct

In this talk, we consider meromorphic modular forms and non-holomorphic modular forms which are harmonic under the hyperbolic Laplace operator up to singularities that behave like poles in the upper half-plane. Building on this theory, formulas are obtained for Fourier coefficients of meromorphic modular forms, emulating identities of Ramanujan that were extended by Berndt, Bialek, and Yee. This is based on joint work with Kathrin Bringmann.

 

Organizer: Yifan Yang (NTU)