000 | 03310nam a22004935i 4500 | ||
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001 | 978-3-540-45178-5 | ||
003 | DE-He213 | ||
005 | 20190213151902.0 | ||
007 | cr nn 008mamaa | ||
008 | 150519s1991 gw | s |||| 0|eng d | ||
020 |
_a9783540451785 _9978-3-540-45178-5 |
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024 | 7 |
_a10.1007/b13348 _2doi |
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050 | 4 | _aQA241-247.5 | |
072 | 7 |
_aPBH _2bicssc |
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_aMAT022000 _2bisacsh |
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072 | 7 |
_aPBH _2thema |
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082 | 0 | 4 |
_a512.7 _223 |
100 | 1 |
_aCourtieu, Michel. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aNon-Archimedean L-Functions and Arithmetical Siegel Modular Forms _h[electronic resource] : _bSecond, Augmented Edition / _cby Michel Courtieu, Alexei A. Panchishkin. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1991. |
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300 |
_aVIII, 204 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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_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 ; _v1471 |
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505 | 0 | _aIntroduction -- Non-Archimedean analytic functions, measures and distributions -- Siegel modular forms and the holomorphic projection operator -- Arithmetical differential operators on nearly holomorphic Siegel modular forms -- Admissible measures for standard L-functions and nearly holomorphic Siegel modular forms. | |
520 | _aThis book is devoted to the arithmetical theory of Siegel modular forms and their L-functions. The central object are L-functions of classical Siegel modular forms whose special values are studied using the Rankin-Selberg method and the action of certain differential operators on modular forms which have nice arithmetical properties. A new method of p-adic interpolation of these critical values is presented. An important class of p-adic L-functions treated in the present book are p-adic L-functions of Siegel modular forms having logarithmic growth (which were first introduced by Amice, Velu and Vishik in the elliptic modular case when they come from a good supersingular reduction of ellptic curves and abelian varieties). The given construction of these p-adic L-functions uses precise algebraic properties of the arihmetical Shimura differential operator. The book could be very useful for postgraduate students and for non-experts giving a quick access to a rapidly developping domain of algebraic number theory: the arithmetical theory of L-functions and modular forms. | ||
650 | 0 | _aNumber theory. | |
650 | 0 | _aGeometry, algebraic. | |
650 | 1 | 4 |
_aNumber Theory. _0http://scigraph.springernature.com/things/product-market-codes/M25001 |
650 | 2 | 4 |
_aAlgebraic Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M11019 |
700 | 1 |
_aPanchishkin, Alexei A. _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: _z9783540407294 |
776 | 0 | 8 |
_iPrinted edition: _z9783662172063 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1471 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/b13348 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c12221 _d12221 |