L-Functions and the Oscillator Representation (Lecture Notes in Mathematics): 1245 - Tapa blanda

Rallis, Stephen

 
9783540176947: L-Functions and the Oscillator Representation (Lecture Notes in Mathematics): 1245
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ISBN 10: 3540176942 ISBN 13: 9783540176947
Editorial: Springer, 1987

Sinopsis

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

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Reseña del editor

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

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Editorial
Springer
Año de publicación
1987
Idioma
Inglés
ISBN 10 
3540176942
ISBN 13 
9783540176947
Encuadernación
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Número de páginas
256
Contacto del fabricante
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Alemania

Otras ediciones populares con el mismo título

9780387176949: L-Functions and the Oscillator Representation (Lecture Notes in Mathematics)

Edición Destacada

ISBN 10:  0387176942 ISBN 13:  9780387176949
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