L-Functions and the Oscillator Representation
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 Pet...
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| Format: | Livre numérique |
| Language: | Anglais |
| Published: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Series: | Lecture notes in mathematics
1245 |
| Subjects: | |
| Online Access: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • L-functions and the oscillator representation, Stephen Rallis, 1987, Berlin, Springer-Verlag, 1 volume (XIII-238 pages), Lecture notes in mathematics, 0-387-17694-2 • L-Functions and the Oscillator Representation, Texte imprimé, 9783662195703 |
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| 082 | |a 510 | ||
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| 100 | 1 | |a Rallis, Stephen, |d 1942-2012. | |
| 245 | 1 | 0 | |a L-Functions and the Oscillator Representation |c Stephen Rallis. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1245 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Notation and preliminaries -- Special Eisenstein series on orthogonal groups -- Siegel formula revisited -- Inner product formulae -- Siegel formula Compact case -- Local l-factors -- Global theory. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 650 | |a Fonctions L | ||
| 650 | |a Nombres, Théorie des | ||
| 650 | |a Représentations de groupes | ||
| 776 | 0 | |0 020183585 |t L-functions and the oscillator representation |f Stephen Rallis |d 1987 |c Berlin |n Springer-Verlag |p 1 volume (XIII-238 pages) |s Lecture notes in mathematics |z 0-387-17694-2 | |
| 776 | 0 | |t L-Functions and the Oscillator Representation |b Texte imprimé |z 9783662195703 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0077894 |z Accès sur la plateforme de l'éditeur | |
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