Skip to main content
SpringerLink
Log in

Fourier coefficients of generalized eisenstein series of degree two. I

  • Published:
Inventiones mathematicae Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Andrianov, A.N.: Euler products corresponding to Siegel modular forms of genus 2 (in Russian). Uspehi Mat. Nauk.29, 43–110 (1974) (English translation in Russian Math. Surveys29, 45–116 (1974))

    Google Scholar 

  2. Klingen, H.: Zum Darstellungssatz für Siegelsche Modulformen. Math. Z.102, 30–43 (1967)

    Google Scholar 

  3. Kurokawa, N.: Examples of eigenvalues of Hecke operators on Siegel cusp forms of degree two. Invent. Math.49, 149–165 (1978)

    Google Scholar 

  4. Kurokawa, N.: Congruences between Siegel modular forms of degree two. Proc. Japan Acad.55A, 417–422 (1979); II. Ibid.,57A, 140–145 (1981)

    Google Scholar 

  5. Kurokawa, N.: On Siegel eigenforms. Proc. Japan Acad.,57A, 47–50 (1981)

    Google Scholar 

  6. Kurokawa, N.: On Eisenstein series for Siegel modular groups. Proc. Japan Acad.,57A, 51–55 (1981); II. Ibid.,57A, 315–320 (1981)

    Google Scholar 

  7. Kurokawa, N., Mizumoto, S.: On Eisenstein series of degree two. Proc. Japan Acad.,57A, 134–139 (1981)

    Google Scholar 

  8. Landau, E.: Vorlesungen über Zahlentheorie. Bd I. Leipzig: Hirzel 1927

    Google Scholar 

  9. Langlands, R.P.: On the Functional Equations Satisfied by Eisenstein Series. Lecture Notes in Mathematics544. Berlin Heidelberg New York: Springer 1976

    Google Scholar 

  10. Maaß, H.: Die Primzahlen in der Theorie der Siegelschen Modulfunktionen. Math. Ann.124, 87–122 (1951)

    Google Scholar 

  11. Maaß, H.: Die Fourierkoeffizienten der Eisensteinreihen zweiten Grades. Danske Vid. Selsk. Mat.-Fys. Medd.34, nr. 7 (1964)

  12. Maaß, H.: Über die Fourierkoeffizienten der Eisensteinreihen zweiten Grades. Danske Vid. Selsk. Mat.-Fys. Medd38, nr. 14 (1972)

  13. Maaß, H.: Lineare Relationen für die Fourierkoeffizienten einiger Modulformen zweiten Grades. Math. Ann.232, 163–175 (1978)

    Google Scholar 

  14. Magnus, W., Oberhettinger, F., Soni, R.P.: Formulas and Theorems for the Special Functions of Mathematical Physics 3rd ed. Berlin Heidelberg New York: Springer 1966

    Google Scholar 

  15. Shimura, G.: The special values of the zeta functions associated with cusp forms. Comm. Pure Appl. Math.29, 783–804 (1976)

    Google Scholar 

  16. Siegel, C. L.: Einführung in die Theorie der Modulfunktionenn-ten Grades. Math. Ann.116, 617–657 (1939)

    Google Scholar 

  17. Siegel, C. L.: Über die Fourierschen Koeffizienten der Eisensteinschen Reihen. Danske Vid. Selsk. Mat.-Fys. Medd34, nr. 6 (1964)

  18. Sturm, J.: Special values of zeta functions and Eisenstein series of half integral weight. Amer. J. Math.102, 219–240 (1980)

    Google Scholar 

  19. Zagier, D.: Modular forms associated to real quadratic fields. Invent. Math.,30, 1–46 (1975)

    Google Scholar 

  20. Zagier, D.: Modular forms whose Fourier coefficients involve zetafunctions of quadratic fields. Lecture Notes in Mathematics,627, 105–169. Berlin Heidelberg New York: Springer 1977

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, 152, Tokyo, Japan

    Shin-ichiro Mizumoto

Authors
  1. Shin-ichiro Mizumoto
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mizumoto, Si. Fourier coefficients of generalized eisenstein series of degree two. I. Invent Math 65, 115–135 (1981). https://doi.org/10.1007/BF01389298

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01389298

Keywords

Search

Navigation