Skip to main content

Integrality of critical values of triple product L-functions

Part of the Lecture Notes in Mathematics book series (LNM,volume 1434)

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Böcherer, S., Über die Fourierkoeffizienten der Siegelschen Eisensteinreihen, Manuscripta Math., 45 (1984), 473–288.

    CrossRef  MATH  Google Scholar 

  2. Garrett, P.B., Decomposition of Eisenstein series: Rankin triple products, Ann. Math., 125 (1987), 209–235.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. Kohnen, W., Modular forms of half-integral weight on Γ0(4), Math. Ann., 248 (1980), 249–266.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. Mizumoto, S., On integrality of certain algebraic numbers associated with modular forms, Math. Ann., 265 (1983), 119–135.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. —, Congruences for eigenvalues of Hecke operators on Siegel modular forms of degree two, Math. Ann., 275 (1986), 149–161.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. Orloff, T., Special values and mixed weight triple products, Invent. Math., 90 (1987), 169–180.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. Satoh, T., Some remarks on triple L-functions, Math. Ann., 276 (1987), 687–698.

    CrossRef  MathSciNet  MATH  Google Scholar 

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

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. Siegel, C.L., Über die Fourierschen Koeffizienten der Eisensteinschen Reihen, Mat. Fys. Medd. Danske Vid. Selsk., 34 nr.6 (1964).

    Google Scholar 

  10. Zagier, D., Modular forms whose Fourier coefficients involve zeta-functions of quadratic fields, Lecture Notes in Math., Vol. 627, pp. 105–169, Berlin, Heidelberg, New York: Springer 1977.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1990 Springer-Verlag

About this paper

Cite this paper

Mizumoto, Si. (1990). Integrality of critical values of triple product L-functions. In: Nagasaka, K., Fouvry, E. (eds) Analytic Number Theory. Lecture Notes in Mathematics, vol 1434. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097135

Download citation

  • DOI: https://doi.org/10.1007/BFb0097135

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52787-9

  • Online ISBN: 978-3-540-47147-9

  • eBook Packages: Springer Book Archive