Skip to main content
Log in

Construction of a cuspform of weight 3/2

  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

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

Access this article

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

Instant access to the full article PDF.

References

  1. P. Bayer andG. Frey, Galois representations of octahedral type and 2-coverings of elliptic curves. Math. Z.207, 395–408 (1991).

    Google Scholar 

  2. B. J.Birch and W.Kuyk, Modular functions of one variable IV, LNM476, Berlin-Heidelberg-New York 1975.

  3. M.Bungert, Konstruktion von Modulformen niedrigen Gewichts. Dissertation, Saarbrücken 1990.

  4. P. Deligne andJ.-P. Serre, Formes modulaires de poids 1. Ann. Sci. École Norm. Sup. (4)7, 507–530 (1974).

    Google Scholar 

  5. M.Eichler, Quadratische Formen und orthogonale Gruppen (zweite Auflage). Berlin-Heidelberg-New York 1974.

  6. G. Frey, Der Rang der Lösungen vony 2=x 3±p 3 über 2e. Manuscripta Math.48, 71–101 (1984).

    Google Scholar 

  7. J. L. Lehman, Rational points on elliptic curves with complex multiplication by the ring of integers in 2e(√−7). J. Number Theory27, 253–272 (1987).

    Google Scholar 

  8. W. Li, Newforms and functional equations. Math. Ann.212, 285–315 (1975).

    Google Scholar 

  9. B.Schoeneberg, Elliptic Modular Functions. Berlin-Heidelberg-New York 1974.

  10. R. Schulze-Pillot. Thetareihen positiv definiter quadratischer Formen. Invent. Math.75, 283–299 (1984).

    Google Scholar 

  11. J.-P.Serre, Modular forms of weight one and Galois representations. In: Algebraic Number Fields, A. Fröhlich, ed. London-New York-San Francisco 1977.

  12. G. Shimura, On modular forms of half integral weight. Ann. of Math.97, 440–481 (1973).

    Google Scholar 

  13. J. B. Tunnell, A classical diophantine problem and modular forms of weight 3/2. Invent. Math.72, 323–334 (1983).

    Google Scholar 

  14. B. L.van der Waerden, Die Reduktionstheorie der positiven quadratischen Formen. In: Studien zur Theorie der quadratischen Formen, B. L. van der Waerden und H. Gross, eds. Basel-Stuttgart 1968.

  15. J. L. Waldspurger, Sur les coefficients de Fourier des formes modulaires de poids demi-entier. J. Math. Pures Appl.60, 375–484 (1981).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bungert, M. Construction of a cuspform of weight 3/2. Arch. Math 60, 530–534 (1993). https://doi.org/10.1007/BF01236077

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01236077

Navigation