p-adic L-functions for modular forMS

Abstract

In this thesis we give an exposition of various known techniques of constructing p- adic L-functions in different cases. The key idea behind this is constructing a non- archimedean measure and then performing a p-adic Mellin transform of a suitable p-adic character. There is also the alternative approach introduced by Iwasawa of finding a p-adic holomorphic power series interpolating the special values of a Dirichlet L-function. We explain the prerequisites and expand upon above ideas to give a comprehensive view.