The aim of this book is to give a systematic exposition of results in some important cases where p-adic families and p-adic L-functions are studied. We first lo

We study Hilbert modular forms in characteristic $p$ and over $p$-adic rings. In the characteristic $p$ theory we describe the kernel and image of the $q$-expan

The central topic of this research monograph is the relation between p-adic modular forms and p-adic Galois representations, and in particular the theory of def

Modular forms are tremendously important in various areas of mathematics, from number theory and algebraic geometry to combinatorics and lattices. Their Fourier