| 000 | 02521nam a22004575i 4500 | ||
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| 001 | 978-3-540-38842-5 | ||
| 003 | DE-He213 | ||
| 005 | 20190213151816.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 121227s1988 gw | s |||| 0|eng d | ||
| 020 |
_a9783540388425 _9978-3-540-38842-5 |
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| 024 | 7 |
_a10.1007/BFb0082094 _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 |
_aSchappacher, Norbert. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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| 245 | 1 | 0 |
_aPeriods of Hecke Characters _h[electronic resource] / _cby Norbert Schappacher. |
| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1988. |
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| 300 |
_aXVIII, 162 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 ; _v1301 |
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| 505 | 0 | _aAlgebraic hecke characters -- Motives for algebraic hecke characters -- The periods of algebraic hecke characters -- Elliptic integrals and the gamma function -- Abelian integrals with complex multiplication -- Motives of CM modular forms. | |
| 520 | _aThe starting point of this Lecture Notes volume is Deligne's theorem about absolute Hodge cycles on abelian varieties. Its applications to the theory of motives with complex multiplication are systematically reviewed. In particular, algebraic relations between values of the gamma function, the so-called formula of Chowla and Selberg and its generalization and Shimura's monomial relations among periods of CM abelian varieties are all presented in a unified way, namely as the analytic reflections of arithmetic identities beetween Hecke characters, with gamma values corresponding to Jacobi sums. The last chapter contains a special case in which Deligne's theorem does not apply. | ||
| 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: _z9783662210871 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540189152 |
| 830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1301 |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0082094 |
| 912 | _aZDB-2-SMA | ||
| 912 | _aZDB-2-LNM | ||
| 912 | _aZDB-2-BAE | ||
| 999 |
_c11954 _d11954 |
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