On Artin's Conjecture for Odd 2-dimensional Representations

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...

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Autori principali: Basmaji, Jacques, 19..-, Kinzelbach, Martin, 19..- (Autore), Wang, Xiangdong (Autore), Kiming, Ian, 19..- (Autore), Merel, Loïc, 1965- (Autore)
Altri autori: Frey, Gerhard, 1944- (Redattore)
Natura: Livre numérique
Lingua:Anglais
Pubblicazione: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Serie:Lecture notes in mathematics 1585
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Edition sous un autre format:• On Artin's conjecture for odd 2-dimensional representations, Jacques Basmaji, Ian Kiming, Martin Kinzelbach, Xiangdong Wang, Loïc Merel, 1994, Berlin, Springer-Verlag, 1 volume (VI-148 pages), Lecture notes in mathematics, 3-540-58387-4
• On Artin's Conjecture for Odd 2-dimensional Representations, Texte imprimé, 9783662182352
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Riassunto: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.
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Archives Springer e-books (Licence nationale)
ISBN:9783540486817 (PDF)
ISSN:1617-9692
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