The Main Results

  • Benjamin Howard
  • Tonghai Yang
Part of the Lecture Notes in Mathematics book series (LNM, volume 2041)


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.


Green Function Eisenstein Series Abelian Surface Quadratic Space Orthogonal Idempotent 
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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

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