L Functions for the Orthogonal Group (Memoirs of the American Mathematical Society) by D. Ginzburg (PDF)

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Ebook Info

  • Published: 1997
  • Number of pages:
  • Format: PDF
  • File Size: 17.40 MB
  • Authors: D. Ginzburg

Description

In this book, the authors establish global Rankin Selberg integrals which determine the standard $L$ function for the group $GL_rtimes G’$, where $G’$ is an isometry group of a nondegenerate symmetric form. The class of automorphic representations considered here is for any pair $prod_1otimesprod_2$ where $prod_1$ is generic cuspidal for $GL_r(A)$ and $prod_2$ is cuspidal for $G'(A)$. The construction of these $L$ functions involves the use of certain new “models” of local representations; these models generalize the usual generic models. The authors also compute local unramified factors in a new way using geometric ideas.

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Download L Functions for the Orthogonal Group (Memoirs of the American Mathematical Society) PDF
Free Download Ebook L Functions for the Orthogonal Group (Memoirs of the American Mathematical Society)

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