On the arithmetic of quaternion algebras II

Arnold PIZER

doi:10.2969/jmsj/02840676

Arnold PIZER

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JOURNAL FREE ACCESS

1976 Volume 28 Issue 4 Pages 676-688

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

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Published: 1976 Received: September 30, 1975 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: 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.

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