The Main Results

Chapter
Part of the Lecture Notes in Mathematics book series (LNM, volume 2041)

Abstract

This chapter contains our main results. In Sect. 5.1 we relate the 0-dimension stack \( {CM_\Sigma}(\alpha)\,{\rm to \,the}\,{\alpha^{th}} \)-Fourier coefficient of the central derivative of an incoherent 4 Hilbert modular Eisenstein series. Here \( {\alpha} \) is a totally positive element of F#. The 5 proof of this result is contained in Sect. 5.2, with the exception of certain local 6 calculations (which are, in fact, the technical core of the proof) postponed until 7 Chap. 6.

Keywords

Green Function Eisenstein Series Abelian Surface Quadratic Space Orthogonal Idempotent 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Department of MathematicsBoston CollegeChestnut HillUSA
  2. 2.Department of MathematicsUniversity of Wisconsin, MadisonMadisonUSA

Personalised recommendations