| 000 | 02836nam a22004455i 4500 | ||
|---|---|---|---|
| 001 | 978-3-319-12916-7 | ||
| 003 | DE-He213 | ||
| 005 | 20190213151740.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 141205s2015 gw | s |||| 0|eng d | ||
| 020 |
_a9783319129167 _9978-3-319-12916-7 |
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| 024 | 7 |
_a10.1007/978-3-319-12916-7 _2doi |
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| 050 | 4 | _aQA241-247.5 | |
| 072 | 7 |
_aPBH _2bicssc |
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_aMAT022000 _2bisacsh |
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_aPBH _2thema |
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| 082 | 0 | 4 |
_a512.7 _223 |
| 100 | 1 |
_aBoylan, Hatice. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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| 245 | 1 | 0 |
_aJacobi Forms, Finite Quadratic Modules and Weil Representations over Number Fields _h[electronic resource] / _cby Hatice Boylan. |
| 264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2015. |
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| 300 |
_aXIX, 130 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 ; _v2130 |
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| 505 | 0 | _aIntroduction -- Notations -- Finite Quadratic Modules -- Weil Representations of Finite Quadratic Modules -- Jacobi Forms over Totally Real Number Fields -- Singular Jacobi Forms -- Tables -- Glossary. | |
| 520 | _aThe new theory of Jacobi forms over totally real number fields introduced in this monograph is expected to give further insight into the arithmetic theory of Hilbert modular forms, its L-series, and into elliptic curves over number fields. This work is inspired by the classical theory of Jacobi forms over the rational numbers, which is an indispensable tool in the arithmetic theory of elliptic modular forms, elliptic curves, and in many other disciplines in mathematics and physics. Jacobi forms can be viewed as vector valued modular forms which take values in so-called Weil representations. Accordingly, the first two chapters develop the theory of finite quadratic modules and associated Weil representations over number fields. This part might also be interesting for those who are merely interested in the representation theory of Hilbert modular groups. One of the main applications is the complete classification of Jacobi forms of singular weight over an arbitrary totally real number field. | ||
| 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: _z9783319129174 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783319129150 |
| 830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2130 |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-319-12916-7 |
| 912 | _aZDB-2-SMA | ||
| 912 | _aZDB-2-LNM | ||
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