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Synopsis
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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L-functions and the oscillator representation. Lecture notes in mathematics ; Vol. 1245
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Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo : Springer, 1987
ISBN 10: 3540176942
ISBN 13: 9783540176947
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kart. Condition: Sehr gut. XIII, 238 S. ; 25 cm 1987. Papier leicht gebräunt, sonst sehr gut. No shipping to other EU countries due to the EU Packaging and Packaging Waste Regulation (PPWR), which entered into force on August 12, 2026. Sprache: Englisch. Seller Inventory # 39790
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L-Functions and the Oscillator Representation
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L-Functions and the Oscillator Representation.
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Softcover. Condition: Gut. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library in GOOD condition with library-signature and stamp(s). Some traces of use. R-16892 3540176942 Sprache: Englisch Gewicht in Gramm: 550. Seller Inventory # 2480248
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L-Functions and the Oscillator Representation
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L-Functions and the Oscillator Representation
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Springer Berlin Heidelberg, Springer Mär 1987, 1987
ISBN 10: 3540176942
ISBN 13: 9783540176947
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - 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. N 256 pp. Englisch. Seller Inventory # 9783540176947
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L-Functions and the Oscillator Representation (Lecture Notes in Mathematics, 1245)
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L-Functions and the Oscillator Representation
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L-Functions and the Oscillator Representation
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Condition: New. Print on Demand pp. 256 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam. Seller Inventory # 7167817
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L-Functions and the Oscillator Representation
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Springer Berlin Heidelberg, 1987
ISBN 10: 3540176942
ISBN 13: 9783540176947
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 o. Seller Inventory # 4883510
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L-Functions and the Oscillator Representation
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Condition: New. PRINT ON DEMAND pp. 256. Seller Inventory # 181761436
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