Advertisement

Arithmetic Aspects of the Theta Correspondence and Periods of Modular Forms

  • Kartik Prasanna
Part of the Progress in Mathematics book series (PM, volume 258)

Summary

We review some recent results on the arithmetic of the theta correspondence for certain symplectic-orthogonal dual pairs and some applications to periods and congruences of modular forms. We also propose an integral version of a conjecture on Petersson inner products of modular forms on quaternion algebras over totally real fields.

Keywords

Modular Form Elliptic Curf Automorphic Form Discrete Series Quaternion Algebra 
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

© Birkhäuser Boston 2008

Authors and Affiliations

  • Kartik Prasanna
    • 1
  1. 1.Department of MathematicsUniversity of MarylandCollege ParkUSA

Personalised recommendations