Skip to main content

Geometric and Analytic Estimates

  • 734 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 1868)

Abstract

In Chap. 1 and 2, we dealt at length with estimates concerning various coordinates on Posn and the volume on Posn. Here we come to deal with the metric itself, and the application of coordinate estimates to the convergence of certain Dirichlet series called Eisenstein series. Further properties of such series will then be treated in the next chapter. On the whole we follow Maass [Maa 71], Sect. 3, Sect. 7 and especially Sect. 10, although we make somewhat more efficient use of the invariant measure in Iwasawa coordinates, thereby introducing some technical simplifications.

Keywords

  • Invariant Measure
  • Analytic Estimate
  • Parabolic Subgroup
  • Fundamental Domain
  • Eisenstein Series

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   49.95
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.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and Permissions

Copyright information

© 2005 Springer-Verlag Berlin/Heidelberg

About this chapter

Cite this chapter

Jorgenson, J., Lang, S. (2005). Geometric and Analytic Estimates. In: Posn(R) and Eisenstein Series. Lecture Notes in Mathematics, vol 1868. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11422372_7

Download citation