000			03370nam a22005175i 4500
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
024	7		_a10.1007/BFb0074106 _2doi
050		4	_aQA241-247.5
072		7	_aPBH _2bicssc
072		7	_aMAT022000 _2bisacsh
072		7	_aPBH _2thema
082	0	4	_a512.7 _223
100	1		_aBasmaji, Jacques. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut
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.
300			_aVIII, 156 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aLecture Notes in Mathematics, _x0075-8434 ; _v1585
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
700	1		_aKinzelbach, Martin. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut
700	1		_aWang, Xiangdong. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut
700	1		_aMerel, Loïc. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut
700	1		_aFrey, Gerhard. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt
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
856	4	0	_uhttps://doi.org/10.1007/BFb0074106
912			_aZDB-2-SMA
912			_aZDB-2-LNM
912			_aZDB-2-BAE
999			_c11774 _d11774