000 | 03370nam a22005175i 4500 | ||
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001 | 978-3-540-48681-7 | ||
003 | DE-He213 | ||
005 | 20190213151744.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1994 gw | s |||| 0|eng d | ||
020 |
_a9783540486817 _9978-3-540-48681-7 |
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024 | 7 |
_a10.1007/BFb0074106 _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 |
_aBasmaji, Jacques. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aOn Artin's Conjecture for Odd 2-dimensional Representations _h[electronic resource] / _cby Jacques Basmaji, Ian Kiming, Martin Kinzelbach, Xiangdong Wang, Loïc Merel ; edited by Gerhard Frey. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1994. |
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300 |
_aVIII, 156 p. _bonline resource. |
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_atext _btxt _2rdacontent |
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_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1585 |
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505 | 0 | _aOn the experimental verification of the artin conjecture for 2-dimensional odd galois representations over Q liftings of 2-dimensional projective galois representations over Q -- A table of A5-fields -- A. Geometrical construction of 2-dimensional galois representations of A5-type. B. On the realisation of the groups PSL2(1) as galois groups over number fields by means of l-torsion points of elliptic curves -- Universal Fourier expansions of modular forms -- The hecke operators on the cusp forms of ?0(N) with nebentype -- Examples of 2-dimensional, odd galois representations of A5-type over ? satisfying the Artin conjecture. | |
520 | _aThe main topic of the volume is to develop efficient algorithms by which one can verify Artin's conjecture for odd two-dimensional representations in a fairly wide range. To do this, one has to determine the number of all representations with given Artin conductor and determinant and to compute the dimension of a corresponding space of cusp forms of weight 1 which is done by exploiting the explicit knowledge of the operation of Hecke operators on modular symbols. It is hoped that the algorithms developed in the volume can be of use for many other problems related to modular forms. | ||
650 | 0 | _aNumber theory. | |
650 | 1 | 4 |
_aNumber Theory. _0http://scigraph.springernature.com/things/product-market-codes/M25001 |
700 | 1 |
_aKiming, Ian. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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700 | 1 |
_aKinzelbach, Martin. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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700 | 1 |
_aWang, Xiangdong. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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700 | 1 |
_aMerel, Loïc. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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700 | 1 |
_aFrey, Gerhard. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
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710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662182352 |
776 | 0 | 8 |
_iPrinted edition: _z9783540583875 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1585 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0074106 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
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