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L-Functions and the Oscillator Representation (Paperback, 1987 ed.) Loot Price: R1,669
Discovery Miles 16 690
L-Functions and the Oscillator Representation (Paperback, 1987 ed.): Stephen Rallis

L-Functions and the Oscillator Representation (Paperback, 1987 ed.)

Stephen Rallis

Series: Lecture Notes in Mathematics, 1245

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Loot Price R1,669 Discovery Miles 16 690 | Repayment Terms: R156 pm x 12*

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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

General

Imprint: Springer-Verlag
Country of origin: Germany
Series: Lecture Notes in Mathematics, 1245
Release date: March 1987
First published: 1987
Authors: Stephen Rallis
Dimensions: 235 x 155 x 13mm (L x W x T)
Format: Paperback
Pages: 240
Edition: 1987 ed.
ISBN-13: 978-3-540-17694-7
Categories: Books > Science & Mathematics > Mathematics > Number theory > General
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LSN: 3-540-17694-2
Barcode: 9783540176947

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