| 000 | 02650nam a22004575i 4500 | ||
|---|---|---|---|
| 001 | 978-3-540-47761-7 | ||
| 003 | DE-He213 | ||
| 005 | 20160624101827.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 121227s1987 gw | s |||| 0|eng d | ||
| 020 |
_a9783540477617 _9978-3-540-47761-7 |
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| 024 | 7 |
_a10.1007/BFb0077894 _2doi |
|
| 050 | 4 | _aQA241-247.5 | |
| 072 | 7 |
_aPBH _2bicssc |
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| 072 | 7 |
_aMAT022000 _2bisacsh |
|
| 082 | 0 | 4 |
_a512.7 _223 |
| 100 | 1 |
_aRallis, Stephen. _eauthor. |
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| 245 | 1 | 0 |
_aL-Functions and the Oscillator Representation _h[electronic resource] / _cby Stephen Rallis. |
| 260 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1987. |
|
| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1987. |
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| 300 |
_aXVI, 240 p. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1245 |
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| 505 | 0 | _aNotation and preliminaries -- Special Eisenstein series on orthogonal groups -- Siegel formula revisited -- Inner product formulae -- Siegel formula — Compact case -- Local l-factors -- Global theory. | |
| 520 | _aThese 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 | 0 | _aMathematics. | |
| 650 | 0 | _aNumber theory. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aNumber Theory. |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540176947 |
| 786 | _dSpringer | ||
| 830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1245 |
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| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/BFb0077894 |
| 942 |
_2EBK1606 _cEBK |
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| 999 |
_c30900 _d30900 |
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