An Introduction to Non-abelian Class Field Theory
ebook ∣ Automorphic Forms Of Weight 1 And 2-dimensional Galois Representations · Series On Number Theory and Its Applications
By Toyokazu Hiramatsu
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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.