An introduction to non-Abelian class field theory : automorphic forms of weight 1 and 2-dimensional Galois representations
著者
書誌事項
An introduction to non-Abelian class field theory : automorphic forms of weight 1 and 2-dimensional Galois representations
(Series on number theory and its applications / series editor, Shigeru Kanemitsu, v. 13)
World Scientific, c2017
大学図書館所蔵 件 / 全10件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references (p. 165-171) and index
内容説明・目次
内容説明
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.
目次
- 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
「Nielsen BookData」 より