000 | 03067nam a22005415i 4500 | ||
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001 | 978-3-540-49041-8 | ||
003 | DE-He213 | ||
005 | 20190213151649.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1994 gw | s |||| 0|eng d | ||
020 |
_a9783540490418 _9978-3-540-49041-8 |
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024 | 7 |
_a10.1007/BFb0074039 _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 |
_aJorgenson, Jay. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aExplicit Formulas for Regularized Products and Series _h[electronic resource] / _cby Jay Jorgenson, Serge Lang, Dorian Goldfeld. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1994. |
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300 |
_aVIII, 160 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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_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1593 |
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520 | _aThe theory of explicit formulas for regularized products and series forms a natural continuation of the analytic theory developed in LNM 1564. These explicit formulas can be used to describe the quantitative behavior of various objects in analytic number theory and spectral theory. The present book deals with other applications arising from Gaussian test functions, leading to theta inversion formulas and corresponding new types of zeta functions which are Gaussian transforms of theta series rather than Mellin transforms, and satisfy additive functional equations. Their wide range of applications includes the spectral theory of a broad class of manifolds and also the theory of zeta functions in number theory and representation theory. Here the hyperbolic 3-manifolds are given as a significant example. | ||
650 | 0 | _aNumber theory. | |
650 | 0 | _aTopological Groups. | |
650 | 0 | _aGlobal differential geometry. | |
650 | 0 | _aGlobal analysis (Mathematics). | |
650 | 1 | 4 |
_aNumber Theory. _0http://scigraph.springernature.com/things/product-market-codes/M25001 |
650 | 2 | 4 |
_aTopological Groups, Lie Groups. _0http://scigraph.springernature.com/things/product-market-codes/M11132 |
650 | 2 | 4 |
_aDifferential Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M21022 |
650 | 2 | 4 |
_aAnalysis. _0http://scigraph.springernature.com/things/product-market-codes/M12007 |
700 | 1 |
_aLang, Serge. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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700 | 1 |
_aGoldfeld, Dorian. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662191576 |
776 | 0 | 8 |
_iPrinted edition: _z9783540586739 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1593 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0074039 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c11457 _d11457 |