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

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

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One of the outstanding problems in arithmetic is to generalize class field theory to non-abelian Galois extensions of number fields, say Hiramatsu and Saito, and in a brief exposition of the theory of automorphic forms of weight One and their applications in arithmetic, they discuss some of the relations between this problem and cusp forms of weight One. Their topics include Hilbert class fields over imaginary quadratic fields, indefinite modular forms, two-dimensional Galois representations of odd type and non-dihedral cusp forms of weight One, and Selberg's eigenvalue conjecture and the Ramanujan-Petersson conjecture. Annotation ©2017 Ringgold, Inc., Portland, OR (protoview.com)
Number of Pages: 175
Genre: Mathematics
Series Title: Series on Number Theory and Its Applications
Format: Hardcover
Publisher: World Scientific Pub Co Inc
Author: Toyokazu Hiramatsu & Seiken Saito
Language: English
Street Date: February 28, 2017
TCIN: 51760102
UPC: 9789813142268
Item Number (DPCI): 248-32-1707

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