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$L$ functions for the orthogonal group

About this Title

D. Ginzburg, I. Piatetski-Shapiro and S. Rallis

Publication: Memoirs of the American Mathematical Society
Publication Year 1997: Volume 128, Number 611
ISBNs: 978-0-8218-0543-5 (print); 978-1-4704-0196-2 (online)
MathSciNet review: 1357823
MSC: Primary 11F70; Secondary 11F55, 11F66, 22E50, 22E55

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Table of Contents


  • 0. Introduction
  • 1. Basic data
  • 2. Support ideals
  • 3. Certain Jacquet functors
  • 4. Global theory
  • 5. Support ideals (II)
  • 6. Calculation of local factors
  • 7. Determination of $\gamma $-factors (spherical case)
  • 8. Determination of $\gamma $-factors (spherical-Whittaker case)