On the Hecke operators for Γ0(N) and class fields over quadratic number fields

Koji DOI; Masatoshi YAMAUCHI

doi:10.2969/jmsj/02540629

On the Hecke operators for Γ₀(N) and class fields over quadratic number fields

Koji DOI, Masatoshi YAMAUCHI

著者情報

ジャーナルフリー

1973 年 25 巻 4 号 p. 629-643

DOI https://doi.org/10.2969/jmsj/02540629

詳細

Published: 1973 Received: 1972/12/07 Available on J-STAGE: 2006/09/29 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/09/29 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) H. Hijikata, Explicit formula of the traces of Hecke operators for Γ₀(N), to appear in J. Math. Soc. Japan.
2) T. Miyake, On automorphic forms on GL₂ and Hecke operators, Ann. of Math., 94 (1971), 174-189.
3) G. Shimura, Introduction to the arithmetic theory of automorphic functions, Publ. Math. Soc. Japan, No. 11, Iwanami Shoten and Princeton University Press, 1971.
4) G. Shimura, On elliptic curves with complex multiplication as factors of the jacobians of modular function fields, Nagoya Math. J., 43 (1971), 199-208.
5) G. Shimura, Class fields over real quadratic fields and Hecke operators, Ann of Math., 95 (1972), 130-190.
6) G. Shimura, On the factors of the jacobian variety of a modular function field, to appear.
7) M. Yamauchi, On the traces of Hecke operators for a normalizer of Γ₀(N), to appear in J. Math. Kyoto Univ.

Right : [1] H. Hijikata, Explicit formula of the traces of Hecke operators for Γ₀(N), to appear in J. Math. Soc. Japan.
[2] T. Miyake, On automorphic forms on GL₂ and Hecke operators, Ann. of Math., 94 (1971), 174-189.
[3] G. Shimura, Introduction to the arithmetic theory of automorphic functions, Publ. Math. Soc. Japan, No. 11, Iwanami Shoten and Princeton University Press, 1971.
[4] G. Shimura, On elliptic curves with complex multiplication as factors of the jacobians of modular function fields, Nagoya Math. J., 43 (1971), 199-208.
[5] G. Shimura, Class fields over real quadratic fields and Hecke operators, Ann of Math., 95 (1972), 130-190.
[6] G. Shimura, On the factors of the jacobian variety of a modular function field, to appear.
[7] M. Yamauchi, On the traces of Hecke operators for a normalizer of Γ₀(N), to appear in J. Math. Kyoto Univ.

訂正日: 2006/09/29 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

責任著者(Corresponding author)

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