Mathematische Annalen

, Volume 222, Issue 3, pp 225–228 | Cite as

On a relation satisfied by Fourier coefficients of theta-series of degree one and two

  • Michio Ozeki
Article
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Keywords

Fourier Fourier Coefficient 
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References

  1. 1.
    Maass, H.: Siegel modular forms and Dirichlet series. Lecture Notes in Mathematics Vol. 216. Berlin, Heidelberg, New York: Springer 1971Google Scholar
  2. 2.
    Niemeier, H.-V.: Definite quadratischen Formen der Diskriminante 1 und Dimension 24. J. Number Theory5, 142–178 (1973)Google Scholar
  3. 3.
    Ozeki, M.: On modular form whose Fourier coefficients are non-negative integers with the constant term unity. Math. Ann.206, 187–203 (1973)Google Scholar
  4. 4.
    Ozeki, M.: On basis problem for Siegel modular forms of degree 2. (to appear in Acta Arithmetica)Google Scholar
  5. 5.
    Siegel, C. L.: Einführung in die Theorie der Modulfunktionenn-ten Grades. Math. Ann.116, 617–657 (1939)Google Scholar
  6. 6.
    Witt, E.: Eine Identität zwischen Modulformen zweiten Grades. Abh. math. Sem. Hamburg Univ.14, 323–337 (1941)Google Scholar

Copyright information

© Springer-Verlag 1976

Authors and Affiliations

  • Michio Ozeki
    • 1
  1. 1.Department of MathematicsRyukyu UniversityOkinawaJapan

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