AN INTRODUCTION TO NON-ABELIAN CLASS FIELD THEORY

AN INTRODUCTION TO NON-ABELIAN CLASS FIELD THEORY

Editorial:
WORLD SCIENTIFIC PUBLISHING
Año de edición:
Materia
Matematicas
ISBN:
978-981-314-226-8
Páginas:
188
N. de edición:
1
Idioma:
Inglés
Disponibilidad:
Disponible en 2-3 semanas

Descuento:

-5%

Antes:

101,00 €

Despues:

95,95 €

• Part I:
Higher Reciprocity Laws
Hilbert Class Fields over Imaginary Quadratic Fields
Indefinite Modular Forms
Dimension Formulas in the Case of Weight 1
• Part II:
2-Dimensional Galois Representations of Odd Type and Non-Dihedral Cusp Forms of Weight 1
Maass Cusp Forms of Eigenvalue 1/4
Selberg's Eigenvalue Conjecture and the Ramanujan–Petersson Conjecture
Indefinite Theta Series
Hilbert Modular Forms of Weight 1
Appendix: Some Dimension Formula and Traces of Hecke Operators for Cusp Forms of Weight 1 — Göttingen talk, 1989. By Toyokazu Hiramatsu

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.