Special $L$-values and periods of weakly holomorphic modular forms
Special $L$-values and periods of weakly holomorphic modular forms
In this paper, we explore a method for associating $L$-series to weakly holomorphic modular forms and then proceed to study their $L$-values. As our main application, we prove a very curious limiting theorem which relates three "periods" of a mock modular form and its shadow to the ratio of their …