On Artin's L-functions of the algebraic curves uniformized by certain automorphic functions

Shuji KONNO

doi:10.2969/jmsj/01510089

Shuji KONNO

著者情報

ジャーナルフリー

1963 年 15 巻 1 号 p. 89-100

DOI https://doi.org/10.2969/jmsj/01510089

詳細

Published: 1963 Received: 1962/06/13 Available on J-STAGE: 2006/09/26 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/09/26 訂正理由: - 訂正箇所: 論文タイトル訂正内容: Wrong : On Artin's L-functions of the algebraic curves uniformized by certain automorphic functions
Right : On Artin's L-functions of the algebraic curves uniformized by certain automorphic functions

訂正日: 2006/09/26 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) A. H. Clifford, Representations induced in an invariant subgroups, Ann. of Math., 38 (1937), 533-550.
2) M. Eichler, Quaternäre quadratische Formen and die Riemannsche Vermutung für die Kongruenzzetafunktion, Arch. Math., 5 (1954), 355-366.
3) E. Hecke, Über Modulfunktionen und die Dirichletschen Reihen mit Eulerscher Produktentwicklung, I, II, Math. Ann., 114 (1937), 1-28; 316-351.
4) S.S. Rangachari, Modulare Korrespondenzen und L-Reihen, J. Reine Angew. Math., 205 (1961), 119-155.
5) G. Shimura, Correspondences modulaires et les fonctions ζ de courbes algebriques, J. Math. Soc. Japan, 10 (1958), 1-28.
6) G. Shimura, On the theory of automorphic functions, Ann, of Math., 70 (1959), 101-144.
7) G. Shimura, On the zeta-functions of the algebraic curves uniformized by certain automorphic functions, J. Math. Soc. Japan, 13 (1961), 275-331.
8) G. Shimura, On Dirichlet series and abelian varieties attatched to automorphic forms, Ann. of Math., 76 (1962), 237-294.
9) A. Weil, Sur les courbes algebriques et les varietes qui s'en deduisent, Hermann, Paris, 1948.
10) A. Weil, Varietes abeliennes et courbes algebriques, Hermann, Paris, 1948.

Right : [1] A. H. Clifford, Representations induced in an invariant subgroups, Ann. of Math., 38 (1937), 533-550.
[2] M. Eichler, Quaternäre quadratische Formen und die Riemannsche Vermutung für die Kongruenzzetafunktion, Arch. Math., 5 (1954), 355-366.
[3] E. Hecke, Über Modulfunktionen und die Dirichletschen Reihen mit Eulerscher Produktentwicklung, I, II, Math. Ann., 114 (1937), 1-28; 316-351.
[4] S. S. Rangachari, Modulare Korrespondenzen und L-Reihen, J. Reine Angew. Math., 205 (1961), 119-155.
[5] G. Shimura, Correspondences modulaires et les fonctions ζ de courbes algebriques, J. Math. Soc. Japan, 10 (1958), 1-28.
[6] G. Shimura, On the theory of automorphic functions, Ann, of Math., 70 (1959), 101-144.
[7] G. Shimura, On the zeta-functions of the algebraic curves uniformized by certain automorphic functions, J. Math. Soc. Japan, 13 (1961), 275-331.
[8] G. Shimura, On Dirichlet series and abelian varieties attatched to automorphic forms, Ann. of Math., 76 (1962), 237-294.
[9] A. Weil, Sur les courbes algebriques et les varietes qui s'en deduisent, Hermann, Paris, 1948.
[10] A. Weil, Varietes abeliennes et courbes algebriques, Hermann, Paris, 1948.

訂正日: 2006/09/26 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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