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An introduction to non-Abelian class field theory : automorphic forms of weight 1 and 2-dimensional Galois representations

Author: Toyokazu Hiramatsu; Seiken Saito, (Mathematics professor)
Publisher: New Jersey : World Scientific, [2017]
Series: Series on number theory and its applications, v. 13.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

This monograph provides a brief exposition of automorphic forms of weight 1 and their applications to arithmetic, especially to Galois representations.

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Document Type: Book
All Authors / Contributors: Toyokazu Hiramatsu; Seiken Saito, (Mathematics professor)
ISBN: 9789813142268 981314226X
OCLC Number: 958141100
Description: xii, 175 pages : illustrations ; 24 cm.
Contents: Higher Reciprocity Laws; Hilbert Class Fields over Imaginary Quadratic Fields; Indefinite Modular Forms; Dimension Formulas in the Case of Weight 1; 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 A: Some Dimension Formula and Traces of Hecke Operators for Cusp Forms of Weight 1;
Series Title: Series on number theory and its applications, v. 13.
Responsibility: Toyokazu Hiramatsu, Hosei University, Japan; Seiken Saito, Waseda University, Japan.

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