L-Functions and the Oscillator Representation

Language: English

Published by Springer, Springer Vieweg Mär 1987, 1987

3540176942 / 9783540176947

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This item is printed on demand - Print on Demand Titel. Neuware -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. NSpringer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 256 pp. Englisch.

Seller Inventory # 9783540176947

Title
L-Functions and the Oscillator Representation
Author
Stephen Rallis
Publisher
Springer, Springer Vieweg Mär 1987
Publication year
1987
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3540176942
ISBN 13
9783540176947
Item weight
394 grams
Dimensions
235x155x15 mm

buchversandmimpf2000

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