Skip to main content

Some conjectured relationships between theta functions and eisenstein series on the metaplectic group

  • Conference paper
  • First Online:
Number Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1383))

This research was supported by NSF Grants # DMS 8612896 and # DMS 8519916. We would like to express our thanks to S. J. Patterson for many helpful discussions.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.99
Price excludes VAT (USA)
  • 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. D. Bump and J. Hoffstein, On Shimura's Correspondence, to appear in Duke Math. J.

    Google Scholar 

  2. D. Kazhdan and S. Patterson, Metaplectic Forms, Publ. Math. IHES No. 59 (1984).

    Google Scholar 

  3. S. Patterson, A. cubic analogue of the theta series, J. reine angew. Math. 296 (1977).

    Google Scholar 

  4. S. Patterson, The Fourier coefficients of biquadratic theta series, Notes.

    Google Scholar 

  5. S. Patterson, Whittaker models of generalized theta series, in Sém. de th. des nombres (Paris), 1982–83, Birkhäuser (1984).

    Google Scholar 

  6. T. Suzuki, Some results on the coefficients of the biquadratic theta series, J. reine angew. Math. 340.

    Google Scholar 

  7. T. Suzuki, Global Whittaker models of generalized theta series, Preprint (1986).

    Google Scholar 

Download references

Authors

Editor information

David V. Chudnovsky Gregory V. Chudnovsky Harvey Cohn Melvyn B. Nathanson

Rights and permissions

Reprints and permissions

Copyright information

© 1989 Springer-Verlag

About this paper

Cite this paper

Bump, D., Hoffstein, J. (1989). Some conjectured relationships between theta functions and eisenstein series on the metaplectic group. In: Chudnovsky, D.V., Chudnovsky, G.V., Cohn, H., Nathanson, M.B. (eds) Number Theory. Lecture Notes in Mathematics, vol 1383. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083566

Download citation

  • DOI: https://doi.org/10.1007/BFb0083566

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51549-4

  • Online ISBN: 978-3-540-46640-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics