Theta series and automorphic forms on GL2

Hideo SHIMIZU

doi:10.2969/jmsj/02440638

Theta series and automorphic forms on GL₂

Hideo SHIMIZU

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ジャーナルフリー

1972 年 24 巻 4 号 p. 638-683

DOI https://doi.org/10.2969/jmsj/02440638

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Published: 1972 Received: 1972/01/17 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) M. Eichler, Über die Darstellbarkeit von Modulformen durch Thetareihen, J. Reine Angew. Math., 195 (1955), 156-171.
2) M. Eichler, Quadratische Formen und Modulfunctionen, Acta Arith., 4 (1958), 217-239.
3) R. Godement, A theory of spherical functions, I, Trans. Amer. Math. Soc., 73 (1952), 496-556.
4) R. Godement, Notes on Jacquet-Langlands' theory, Lecture note, Institute for Advanced Study, Princeton, 1970.
5) H. Jacquet and R. P. Langlands, Automorphic forms on GL(2), Lecture note in Mathematics No. 114, Springer, 1970.
6) T. Miyake, On automorphic forms on GL₂ and Hecke operators, Ann. of Math., 94 (1971), 174-189.
7) J. A. Shalika and S. Tanaka, On an explicit construction of a certain class of automorphic forms, Amer. J. Math., 91 (1969), 1049-1076.
8) H. Shimizu, On zeta functions of quaternion algebras, Ann. of Math., 81 (1965), 166-193.
9) G. Shimura, On Dirichlet series and abelian varieties attached to automorphic forms, Ann. of Math., 76 (1962), 237-294.
10) S. Tanaka, On irreducible unitary representations of some special linear groups of the second order, I, Osaka J. Math., 3 (1966), 217-227,
11) A. Weil, Sur certaines groupes d'opérateurs unitaires, Acta Math., 111 (1964) 143-211.

Right : [1] M. Eichler, Über die Darstellbarkeit von Modulformen durch Thetareihen, J. Reine Angew. Math., 195 (1955), 156-171.
[2] M. Eichler, Quadratische Formen und Modulfunctionen, Acta Arith., 4 (1958), 217-239.
[3] R. Godement, A theory of spherical functions, I, Trans. Amer. Math. Soc., 73 (1952), 496-556.
[4] R. Godement, Notes on Jacquet-Langlands' theory, Lecture note, Institute for Advanced Study, Princeton, 1970.
[5] H. Jacquet and R. P. Langlands, Automorphic forms on GL(2), Lecture note in Mathematics No. 114, Springer, 1970.
[6] T. Miyake, On automorphic forms on GL₂ and Hecke operators, Ann. of Math., 94 (1971), 174-189.
[7] J. A. Shalika and S. Tanaka, On an explicit construction of a certain class of automorphic forms, Amer. J. Math., 91 (1969), 1049-1076.
[8] H. Shimizu, On zeta functions of quaternion algebras, Ann. of Math., 81 (1965), 166-193.
[9] G. Shimura, On Dirichlet series and abelian varieties attached to automorphic forms, Ann. of Math., 76 (1962), 237-294.
[10] S. Tanaka, On irreducible unitary representations of some special linear groups of the second order, I, Osaka J. Math., 3 (1966), 217-227.
[11] A. Weil, Sur certaines groupes d'opérateurs unitaires, Acta Math., 111 (1964), 143-211.

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

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