On Shimura lifting of modular forms

Eichler-shimura Theory for Mock Modular Forms

We use mock modular forms to compute generating functions for the critical values of modular L-functions, and we answer a generalized form of a question of Kohnen and Zagier by deriving the “extra relation” that is satisfied by even periods of weakly holomorphic cusp forms. To obtain these results we derive an Eichler-Shimura theory for weakly holomorphic modular forms and mock modular forms. T...

The Overconvergent Shimura Lifting

p - adic Modular Forms over Shimura Curves over

In this thesis, we set up the basic theory of p-adic modular forms over Shimura curves over Q, parallel to the classical case over modular curves. We define and study the structure of the spaces of p-adic modular forms with respect to certain quaternion algebras over Q. We study the relation of these modular forms with classical quaternionic modular forms. We prove a canonical subgroup theorem ...

Automorphic Forms on Shimura Varieties

Lectures on Shimura Curves 0: Modular Curves

General remarks about these documents: These are lecture notes. Let us reflect separately on the meaning of both words. The first word is meant to indicate some correspondence between what is said in the lectures and what appears in these notes. This correspondence is not precise: on the one hand, in response to a question or a comment, I may say things in class which do not make it into these ...