INTRODUCTION TO NON-ABELIAN CLASS FIELD THEORY, AN

INTRODUCTION TO NON-ABELIAN CLASS FIELD THEORY, AN

Auteur: Toyokazu Hiramatsu, Seiken Saito
Éditeur: World Scientific Publishing Company
Année de publication: 2016
ISBN: 9789813142268

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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.

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