Skip to main content

Modular integrals on Γo(N) and dirichlet series with functional equations

Part of the Lecture Notes in Mathematics book series (LNM,volume 1135)

Keywords

  • Functional Equation
  • Modular Form
  • Simple Polis
  • Dirichlet Series
  • Modular Group

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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. T.M. Apostol, Introduction to Analytic Number Theory, Springer Verlag, New York, 1976.

    MATH  Google Scholar 

  2. E. Hecke, Dirichlet series, modular functions and quadratic forms, Planographed notes, Edwards Brothers, Inc., Ann Arbor, 1938.

    Google Scholar 

  3. _____, Neure Fortschritte in der Theorie der elliptischen Modulfunktionen, Comptes rendus du Congrès international des Mathematiciens Oslo (1936), 140–156. Mathematische Werke paper No. 34, 627–643.

    Google Scholar 

  4. _____, Über die Bestimmung Dirichletscher Reihen durch ihre Funktionalgleichung, Math. Annalen 112 (1936), 644–699. Werke, paper no. 33, 591–626.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. M.I. Knopp, Rational period functions of the modular group, Duke Math. J. 45 (1978), 47–62.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. _____, Rational period functions of the modular group II, Glasgow Math. J. 22 (1981), 185–197.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. _____, Some new results on the Eichler cohomology of automorphic forms, Bull. Amer. Math. Soc. 80 (1974), 607–632.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. A. Weil, Über die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen, Math. Annalen 168 (1967), 149–156.

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1985 Springer-Verlag

About this paper

Cite this paper

Knopp, M.I. (1985). Modular integrals on Γo(N) and dirichlet series with functional equations. In: Chudnovsky, D.V., Chudnovsky, G.V., Cohn, H., Nathanson, M.B. (eds) Number Theory. Lecture Notes in Mathematics, vol 1135. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074606

Download citation

  • DOI: https://doi.org/10.1007/BFb0074606

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15649-9

  • Online ISBN: 978-3-540-39535-5

  • eBook Packages: Springer Book Archive