Explicit Constructions of Automorphic L-Functions

Released on by Stephen Gelbart
preview-18

  • Explicit Constructions of Automorphic L-Functions Book Detail

  • Author : Stephen Gelbart
  • Release Date : 2006-11-15
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 158
  • ISBN 13 : 3540478809
  • File Size : 87,87 MB
DOWNLOAD BOOK

Explicit Constructions of Automorphic L-Functions by Stephen Gelbart PDF Summary

Book Description: The goal of this research monograph is to derive the analytic continuation and functional equation of the L-functions attached by R.P. Langlands to automorphic representations of reductive algebraic groups. The first part of the book (by Piatetski-Shapiro and Rallis) deals with L-functions for the simple classical groups; the second part (by Gelbart and Piatetski-Shapiro) deals with non-simple groups of the form G GL(n), with G a quasi-split reductive group of split rank n. The method of proof is to construct certain explicit zeta-integrals of Rankin-Selberg type which interpolate the relevant Langlands L-functions and can be analyzed via the theory of Eisenstein series and intertwining operators. This is the first time such an approach has been applied to such general classes of groups. The flavor of the local theory is decidedly representation theoretic, and the work should be of interest to researchers in group representation theory as well as number theory.

Disclaimer: www.yourbookbest.com does not own Explicit Constructions of Automorphic L-Functions books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.