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

SKU: 9789813142282

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Full Title

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

Author(s)

Toyokazu Hiramatsu, Seiken Saito

Edition
ISBN

9789813142282, 9789813142268, 9789813142275

Publisher

World Scientific

Format

PDF and EPUB

Description

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.