Introduction To Non-abelian Class Field Theory, An: Automorphic Forms Of Weight 1 And 2-dimensional Galois Representations

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Introduction To Non-abelian Class Field Theory, An: Automorphic Forms Of Weight 1 And 2-dimensional Galois Representations

Algebra Number theory

Authors: Toyokazu Hiramatsu, Seiken Saito

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Collection: Series On Number Theory And Its Applications

Language: English

Published by: World Scientific

Published on: 13th September 2016

Format: LCP-protected ePub

Size: 188 pages

ISBN: 9789813142282


Automorphic Forms of Weight 1 and Their Applications

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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