000 | 02756nam a22004575i 4500 | ||
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001 | 978-3-540-47761-7 | ||
003 | DE-He213 | ||
005 | 20190213151553.0 | ||
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 |
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050 | 4 | _aQA241-247.5 | |
072 | 7 |
_aPBH _2bicssc |
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072 | 7 |
_aMAT022000 _2bisacsh |
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072 | 7 |
_aPBH _2thema |
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082 | 0 | 4 |
_a512.7 _223 |
100 | 1 |
_aRallis, Stephen. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aL-Functions and the Oscillator Representation _h[electronic resource] / _cby Stephen Rallis. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _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 | _aNumber theory. | |
650 | 1 | 4 |
_aNumber Theory. _0http://scigraph.springernature.com/things/product-market-codes/M25001 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662195703 |
776 | 0 | 8 |
_iPrinted edition: _z9783540176947 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1245 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0077894 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c11138 _d11138 |