L-Functions And The Oscillator Representation by Stephen Rallis

L-Functions And The Oscillator Representation



Download L-Functions And The Oscillator Representation




L-Functions And The Oscillator Representation Stephen Rallis
Language: English
Page: 256
Format: djvu
ISBN: 0387176942, 9780387176949
Publisher: Springer

These notes are concerned with showing the relation between L-functions of classical groups (*F1 in particular) and *F2 functions arising from the oscillator representation of the dual reductive pair *F1 *F3 O(Q). The problem of measuring the nonvanishing of a *F2 correspondence by computing the Petersson inner product of a *F2 lift from *F1 to O(Q) is considered. This product can be expressed as the special value of an L-function (associated to the standard representation of the L-group of *F1) times a finite number of local Euler factors (measuring whether a given local representation occurs in a given oscillator representation). The key ideas used in proving this are (i) new Rankin integral representations of standard L-functions, (ii) see-saw dual reductive pairs and (iii) Siegel-Weil formula. The book addresses readers who specialize in the theory of automorphic forms and L-functions and the representation theory of Lie groups. N
--This text refers to an alternate

edition.

MORE EBOOKS:
Download ebook: Multilevel Analysis - Techniques and Applications
Download ebook: Lightning Over Yemen: A History of the Ottoman Campaign in Yemen, 1569-71
Download ebook: Adam Smith's Political Philosophy
Download ebook: Renaissance and Reformations: An Introduction to Early Modern English Literature
Introduction to Cluster Dynamics download pdf







Tags: Download L-Functions And The Oscillator Representation ebook
Download L-Functions And The Oscillator Representation ebook pdf
Download L-Functions And The Oscillator Representation ebook djvu
Download L-Functions And The Oscillator Representation ebook chm
L-Functions And The Oscillator Representation ebook
L-Functions And The Oscillator Representation download
L-Functions And The Oscillator Representation download book
L-Functions And The Oscillator Representation ebook pdf
L-Functions And The Oscillator Representation ebook djvu
L-Functions And The Oscillator Representation ebook chm
Stephen Rallis ebooks