Skip to main content
Log in

Congruences between cusp forms and eisenstein series of half-integral weight

  • Published:
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 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. J. A. Antoniadis,M. Bungert,G. Frey: Arithmetische Anwendungen von Modulformen, in preparation

  2. H. Cohen: Sums involving the values at negative integers of L-functions of quadratic characters, Math. Ann. 217, 277–285 (1975)

    Article  MathSciNet  Google Scholar 

  3. G. Frey: A relation between the value of the L-series of the curve:y 2=x 3-k 3 ins=1 and its Selmer group, Arch. Math. 45, 232–238 (1985)

    Article  MathSciNet  MATH  Google Scholar 

  4. D. Gross: Heights and the special values of L-series. In: Conf. Proceedings of the Canadian Math. Soc. (ed.: Kisilevsky and J. Labute), Vol 7. 1987.

  5. N. Koblitz: p-adic congruences and modular forms of half-integral weight, Math. Ann. 274, 199–220 (1986)

    Article  MathSciNet  MATH  Google Scholar 

  6. W. Kohnen, D. Zagier: Values of L-series of modular forms at the center of the critical strip, Invent, math. 64, 175–198 (1981)

    Article  MathSciNet  MATH  Google Scholar 

  7. W. Kohnen: Newforms of half-integral weight, J. reine angew. Math. 333, 32–72 (1982)

    MathSciNet  MATH  Google Scholar 

  8. Y. Maeda: A congruence between modular forms of half-integral weight, Hokkaido Math. J. 12, 64–73 (1983)

    Article  MathSciNet  MATH  Google Scholar 

  9. B. Mazur: On the arithmetic of special values of L-functions, Invent, math. 55, 207–240 (1979)

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  11. T. Shintani, On construction of holomorphic cusp forms of half-integral weight, Nagoya Math. J. 58, 83–126 (1975)

    MathSciNet  MATH  Google Scholar 

  12. J. L. Waldspurger: Sur les coefficients de Fourier des formes modulaires de poids demientier, J. Math. Pures Appl. 60, 375–484 (1981)

    MathSciNet  MATH  Google Scholar 

  13. D. Zagier: Nombres de classes et formes modulaires de poids\(\frac{3}{2}\), C.R. Acad. Sc. Paris, t. 281 (1975)

  14. D. Zagier: Modular forms whose Fourier coefficients involve zetafunctions of quadratic fields, in: Modular forms of one variable VI, Lect. Notes Math., Vol. 627, pp. 105–169, Berlin, Heidelberg, New York: Springer 1977

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Antoniadis, J.A., Kohnen, W. Congruences between cusp forms and eisenstein series of half-integral weight. Abh.Math.Semin.Univ.Hambg. 57, 157–164 (1987). https://doi.org/10.1007/BF02941607

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02941607

Keywords

Navigation