Alladi Ramakrishnan Hall

Analogues of the Bol operator for half-integral weight weakly holomorphic modular forms

Mrityunjoy Charan

IMSc

The classical “Bol operator” is a fruitful tool in various aspects of the theory of modular forms. It provides one of the ways to address the difficulty of the derivative of a modular form typically not being modular. It has many applications in the theory of harmonic Maass forms of integral weight. Very recently Diamantis et.al., defined analogues of the Bol operator for the half-integral weight weakly holomorphic modular forms. In this talk, we will discuss some properties of the half-integral weight Bol operator.