On the ring of Hilbert modular forms over Z

Shoyu NAGAOKA

doi:10.2969/jmsj/03540589

Shoyu NAGAOKA

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JOURNAL FREE ACCESS

1983 Volume 35 Issue 4 Pages 589-608

DOI https://doi.org/10.2969/jmsj/03540589

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Published: 1983 Received: January 05, 1982 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) W. L. Baily, Jr., Automorphic forms with integral Fourier coefficients, Lecture Notes in Math., 155, Springer-Verlag, 1970, 1-8.
2) W. L. Baily, Jr., A theorem on the finite generations of an algebra of modular forms, preprint.
3) K. B. Gundlach, Die Bestimmung der Funktionen zur Hilbertschen Modulgruppe des Zahlkörper Q(√<5>), Math. Ann., 152(1963), 226-256.
4) K. B. Gundlach, Die Bestimmung der Funktionen zu einigen Hilbertschen Modulgruppe, J. Reine Angew. Math., 220 (1965), 109-153.
5) W. F. Hammond, The modular groups of Hilbert and Siegel, Amer. J. Math., 88 (1966), 497-515.
6) J. Igusa, On Siegel modular forms of genus two, Amer. J. Math., 84(1962), 175-200.
7) J. Igusa, On the ring of modular forms of degree two over Z, Amer. J. Math., 101 (1979), 149-183.
8) C. Y. Lin, Modular forms over Z for the theta group, Chinese J. Math., 9(1981), 99-106.
9) C. L. Siegel, Berechnung von Zetafunktionen an Ganzzahligen Stellen, Göttingen Nach., 10(1969), 87-102.

Right : [1] W. L. Baily, Jr., Automorphic forms with integral Fourier coefficients, Lecture Notes in Math., 155, Springer-Verlag, 1970, 1-8.
[2] W. L. Baily, Jr., A theorem on the finite generations of an algebra of modular forms, preprint.
[3] K. B. Gundlach, Die Bestimmung der Funktionen zur Hilbertschen Modulgruppe des Zahlkörper Q(√5), Math. Ann., 152 (1963), 226-256.
[4] K. B. Gundlach, Die Bestimmung der Funktionen zu einigen Hilbertschen Modulgruppe, J. Reine Angew. Math., 220 (1965), 109-153.
[5] W. F. Hammond, The modular groups of Hilbert and Siegel, Amer. J. Math., 88 (1966), 497-515.
[6] J. Igusa, On Siegel modular forms of genus two, Amer. J. Math., 84 (1962), 175-200.
[7] J. Igusa, On the ring of modular forms of degree two over Z, Amer. J. Math., 101 (1979), 149-183.
[8] C. Y. Lin, Modular forms over Z for the theta group, Chinese J. Math., 9 (1981), 99-106.
[9] C. L. Siegel, Berechnung von Zetafunktionen an Ganzzahligen Stellen, Göttingen Nach., 10 (1969), 87-102.

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