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

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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.

Author(s): Toyokazu Hiramatsu, Seiken Saito
Series: Series on Number Theory and Its Applications
Publisher: World Scientific Publishing Company
Year: 2017

Language: English
Pages: 188
Tags: Mathematics;nonabelian; class field; theory; non-abelian; class; field;