Ebook: Introduction to Non-Abelian Class Field Theory, An: Automorphic Forms of Weight 1 and 2-Dimensional Galois Representations
Author: Toyokazu Hiramatsu Seiken Saito
- Genre: Mathematics
- Tags: Mathematics, nonabelian, class field, theory, non-abelian, class, field
- Series: Series on Number Theory and Its Applications
- Year: 2017
- Publisher: World Scientific Publishing Company
- Language: English
- pdf
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.
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