Poincaré series

  • Roelof W. Bruggeman
Part of the Modern Birkhäuser Classics book series (MBC)


In the previous chapter we defined automorphic forms of a rather general type. We have seen examples for the modular case in Chapter 1. In this chapter we discuss the sole general method to construct automorphic forms; it works for a unitary character χ and a spectral parameter s with Re s > 1/2. It is the construction of Poincaré series.


Spectral Parameter Eisenstein Series Automorphic Form Double Coset Absolute Convergence 
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.


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Copyright information

© Springer Basel AG 1994

Authors and Affiliations

  • Roelof W. Bruggeman
    • 1
  1. 1.Mathematisch InstituutUniversiteit UtrechtUtrechtThe Netherland

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