p-adic L-functions for GL(n)

TL;DR

This paper provides an introduction to p-adic L-functions for automorphic forms on GL(n), focusing on understanding the p-adic symmetric cube L-function for GL(2) cusp forms over rationals.

Contribution

It offers an accessible overview of p-adic L-functions for GL(n), emphasizing the case of symmetric cube L-functions for GL(2) cusp forms.

Findings

Overview of p-adic L-functions for automorphic forms on GL(n)

Insights into the p-adic symmetric cube L-function for GL(2)

Connections between automorphic forms and p-adic L-functions

Abstract

These are the expanded notes of a mini-course of four lectures by the same title given in the workshop "p-adic aspects of modular forms" held at IISER Pune, in June, 2014. We give a brief introduction of p-adic L-functions attached to certain types of automorphic forms on GL(n) with the specific aim of understanding the p-adic symmetric cube L-function attached to a cusp form on GL(2) over rational numbers.