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＜電子ブック＞
On Artin's Conjecture for Odd 2-dimensional Representations / edited by Gerhard Frey
(Lecture Notes in Mathematics. ISSN:16179692 ; 1585)

版	1st ed. 1994.
出版者	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年	1994
本文言語	英語
大きさ	VIII, 156 p : online resource
冊子体	On Artin's conjecture for odd 2-dimensional representations / G. Frey (ed.) ; [authors, Jacques Basmaji ... et al.] ; : gw,: us
著者標目	Frey, Gerhard editor SpringerLink (Online service)
件　名	LCSH:Number theory FREE:Number Theory
一般注記	On 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 The 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 Accessibility summary: This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format Inaccessible, or known limited accessibility No reading system accessibility options actively disabled Publisher contact for further accessibility information: accessibilitysupport@springernature.com HTTP:URL=https://doi.org/10.1007/BFb0074106

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