An Introduction to Non-Abelian Class Field Theory ─ Automorphic Forms of Weight 1 and 2-Dimensional Galois Representations

This monograph provides a brief exposition of automorphic forms of weight 1 and their applications to arithmetic, especially to Galois representations. One of the outstanding problems in arithmetic is a generalization of class field theory to non-abelian Galois extension of number fields. In this volume, we discuss some relations between this problem and cusp forms of weight 1.