The representability of modular forms by theta series

Arnold PIZER

doi:10.2969/jmsj/02840689

Arnold PIZER

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JOURNAL FREE ACCESS

1976 Volume 28 Issue 4 Pages 689-698

DOI https://doi.org/10.2969/jmsj/02840689

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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) A. Atkin and J. Lehner, Hecke operators on Γ₀(m), Math. Ann., 185 (1970), 134-160.
2) M. Eichler, Über die Darstellbarkeit von Modulformen 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 the 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, Kinokuniya, Tokyo, 1973, 13-21.
7) T. Miyake, On automorphic forms on GL₂ and Hecke operators, Ann. of Math., 94 (1971), 174-189.
8) A. Pizer, On the arithmetic of quaternion algebras II, J. Math. Soc. Japan, 28 (1967), 676-688.

Right : [1] A. Atkin and J. Lehner, Hecke operators on Γ₀(m), Math. Ann., 185 (1970), 134-160.
[2] M. Eichler, Über die Darstellbarkeit von Modulformen durch 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 the 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, Kinokuniya, Tokyo, 1973, 13-21.
[7] T. Miyake, On automorphic forms on GL₂ and Hecke operators, Ann. of Math., 94 (1971), 174-189.
[8] A. Pizer, On the arithmetic of quaternion algebras II, J. Math. Soc. Japan, 28 (1967), 676-688.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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