Arithmetic Aspects of the Theta Correspondence and Periods of Modular Forms

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


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.


Modular Form Elliptic Curf Automorphic Form Discrete Series Quaternion Algebra 
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Copyright information

© Birkhäuser Boston 2008

Authors and Affiliations

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

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