On the arithmetic of quaternion algebras II

Arnold PIZER

doi:10.2969/jmsj/02840676

Arnold PIZER

著者情報

ジャーナルフリー

1976 年 28 巻 4 号 p. 676-688

DOI https://doi.org/10.2969/jmsj/02840676

詳細

Published: 1976 Received: 1975/09/30 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) M. Eichler, Zur Zahlentheorie der Quaternionen Algebren, J. Reine Angew. Math., 195 (1955), 127-151.
2) M. Eichler, Über die Darstellbarkeit von Nodulformen lurch Thetareihen, J. Reine Angew. Math., 195 (1955), 156-171.
3) M. Eichler, Quadratische Formen and Modulfunktionen, Acta Arith., 4 (1958), 217-239.
4) M. Eichler, The basis problem for modular forms and the traces of the Hecke operators, Lecture Notes in Math. #320, Springer-Verlag, 75-151.
5) H. Hijikata, Explicit formula of the traces of Hecke operators for Γ₀(N), J. Math. Soc. Japan, 26 (1974), 56-82.
6) H. Hijikata and H. Saito, On the representability of modular forms by theta series, Number Theory, Algebraic Geometry, and Commutative Algebra in honor of Y. Akizuki, Hinokuniya, Tokyo, 1973, 13-21.
7) A. Pizer, Type numbers of Eichler orders, J. Reine Angew. Math., 264 (1973), 76-102.
8) A. Pizer, On the arithmetic of quaternion algebras, to appear in Acta Arith., Vol. 31 n. 1.
9) A. Pizer, The Representability of modular forms by theta series, J. Math. Soc. Japan, 28 (1976), 689-698.
10) A. Weil, Basic Number Theory, Springer-Verlag, 1967.

Right : [1] M. Eichler, Zur Zahlentheorie der Quaternionen Algebren, J. Reine Angew. Math., 195 (1955), 127-151.
[2] M. Eichler, Über die Darstellbarkeit von Nodulformen lurch Thetareihen, J. Reine Angew. Math., 195 (1955), 156-171.
[3] M. Eichler, Quadratische Formen und Modulfunktionen, Acta Arith., 4 (1958), 217-239.
[4] M. Eichler, The basis problem for modular forms and the traces of the Hecke operators, Lecture Notes in Math. #320, Springer-Verlag, 75-151.
[5] H. Hijikata, Explicit formula of the traces of Hecke operators for Γ₀(N), J. Math. Soc. Japan, 26 (1974), 56-82.
[6] H. Hijikata and H. Saito, On the representability of modular forms by theta series, Number Theory, Algebraic Geometry, and Commutative Algebra in honor of Y. Akizuki, Hinokuniya, Tokyo, 1973, 13-21.
[7] A. Pizer, Type numbers of Eichler orders, J. Reine Angew. Math., 264 (1973), 76-102.
[8] A. Pizer, On the arithmetic of quaternion algebras, to appear in Acta Arith., Vol. 31 n. 1.
[9] A. Pizer, The Representability of modular forms by theta series, J. Math. Soc. Japan, 28 (1976), 689-698.
[10] A. Weil, Basic Number Theory, Springer-Verlag, 1967.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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