3 papers
math.NT2023
Laurent expansions of meromorphic modular forms
Gabriele Bogo, Yingkun Li, Markus Schwagenscheidt
In this paper, we study the Laurent coefficients of meromorphic modular forms at CM points by giving two approaches of computing them. The first is a generalization of the method o…
math.NT2023
Mock Maass Forms Revisited
Yingkun Li, Christina Roehrig
In this paper, we use theta integrals to give a different construction of mock Maass forms studied by Sander Zwegers. With this method, we construct new real-analytic modular forms…
math.NT2022
Span of Restriction of Hilbert Theta Functions
Gabriele Bogo, Yingkun Li
In this paper, we study the diagonal restrictions of certain Hilbert theta series for a totally real field , and prove that they span the corresponding space of elliptic modular…