title: Automorphic Representations and L-Functions for the General Linear Group: Volume 1 (Cambridge Studies in Advanced Mathematics)
author: Dorian Goldfeld
description: "This book treats the subject without imposing many prerequisites, and the pace is leisurely throughout. The authors also make an effort to explain every term. Accordingly, students are likely to find it quite accessible." <br />Solomon Friedberg for Mathematical Reviews
zlib_text: **Automorphic Forms on GL(2)**
  
   **Herve´ Jacquet and Robert P. Langlands**
  
  Formerly appeared as volume #114 in the Springer Lecture Notes in Mathematics,
  1970, pp. 1-548
  
  ![](Images/image00737.jpeg)
  
   **Chapter 1**
  
   **i**
  
   **Table of Contents**
  
   **Introduction**
  
  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ii
  
   **Chapter I: Local Theory**. . . . . . . . . . . . . . . . . . . . . . . . .
  . . . . . . 1
  
  _§_ 1\. Weil representations . . . . . . . . . . . . . . . . . . . . . . . . .
  . . . . 1
  
  _§_ 2\. Representations of _GL_ (2 _, F_ ) in the non-archimedean case . . . .
  . . . . . . . 15
  
  _§_ 3\. The principal series for non-archimedean fields . . . . . . . . . . .
  . . . . . 58
  
  _§_ 4\. Examples of absolutely cuspidal representations . . . . . . . . . . .
  . . . . . 77
  
  _§_ 5\. Representations of _GL_ (2 _,_ R) . . . . . . . . . . . . . . . . . .
  . . . . . . 96
  
  _§_ 6\. Representation of _GL_ (2 _,_ C) . . . . . . . . . . . . . . . . . . .
  . . . . . . 138
  
  _§_