Advertisement

Families of automorphic forms

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

Abstract

Up till now we have studied individual automorphic forms. These turn out to occur in families in a natural way. For instance, the Poincaré series depends continuously on the weight l, the unitary character x, and the spectral parameter s. The dependence on s is holomorphic. It is not clear from the series that there might be a holomorphic or meromorphic dependence on the character and the weight. In Chapters 9 and 10 we shall get meromorphy by functional analytic methods.

Keywords

Parameter Space Open Subset Meromorphic Function Complex Manifold Cusp Form 
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 Basel AG 1994

Authors and Affiliations

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

Personalised recommendations