| 000 | 02806nam a22004815i 4500 | ||
|---|---|---|---|
| 001 | 978-3-540-47880-5 | ||
| 003 | DE-He213 | ||
| 005 | 20160624101828.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 121227s1987 gw | s |||| 0|eng d | ||
| 020 |
_a9783540478805 _9978-3-540-47880-5 |
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| 024 | 7 |
_a10.1007/BFb0078125 _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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| 082 | 0 | 4 |
_a512.7 _223 |
| 100 | 1 |
_aGelbart, Stephen. _eauthor. |
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| 245 | 1 | 0 |
_aExplicit Constructions of Automorphic L-Functions _h[electronic resource] / _cby Stephen Gelbart, Ilya Piatetski-Shapiro, Stephen Rallis. |
| 260 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1987. |
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| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1987. |
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| 300 |
_aVIII, 156 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 ; _v1254 |
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| 505 | 0 | _aContents: L-Functions for the Classical Groups -- L-Functions for G GL(n): Basic Identities and the Euler Product Expansion. The Local Functional Equation -- General Index -- Index of Notation. | |
| 520 | _aThe goal of this research monograph is to derive the analytic continuation and functional equation of the L-functions attached by R.P. Langlands to automorphic representations of reductive algebraic groups. The first part of the book (by Piatetski-Shapiro and Rallis) deals with L-functions for the simple classical groups; the second part (by Gelbart and Piatetski-Shapiro) deals with non-simple groups of the form G GL(n), with G a quasi-split reductive group of split rank n. The method of proof is to construct certain explicit zeta-integrals of Rankin-Selberg type which interpolate the relevant Langlands L-functions and can be analyzed via the theory of Eisenstein series and intertwining operators. This is the first time such an approach has been applied to such general classes of groups. The flavor of the local theory is decidedly representation theoretic, and the work should be of interest to researchers in group representation theory as well as number theory. | ||
| 650 | 0 | _aMathematics. | |
| 650 | 0 | _aNumber theory. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aNumber Theory. |
| 700 | 1 |
_aPiatetski-Shapiro, Ilya. _eauthor. |
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| 700 | 1 |
_aRallis, Stephen. _eauthor. |
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| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540178484 |
| 786 | _dSpringer | ||
| 830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1254 |
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| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/BFb0078125 |
| 942 |
_2EBK1630 _cEBK |
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| 999 |
_c30924 _d30924 |
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