L-Functions and the Oscillator Representation: 1245 (Lecture Notes in Mathematics, 1245) - Softcover
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, 1245)
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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. XIII, 238 S. ; 25 cm 1987. Papier leicht gebräunt, sonst sehr gut. 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 (Lecture Notes in Mathematics, 1245)
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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 (Lecture Notes in Mathematics)
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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
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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
Published by
Springer Berlin Heidelberg, Springer Berlin Heidelberg Mär 1987, 1987
ISBN 10: 3540176942
ISBN 13: 9783540176947
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Taschenbuch. Condition: Neu. 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. N 256 pp. Englisch. Seller Inventory # 9783540176947
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L-Functions and the Oscillator Representation
Published by
Springer Berlin Heidelberg, 1987
ISBN 10: 3540176942
ISBN 13: 9783540176947
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Taschenbuch
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9783540176947