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Titlebook: On Artin‘s Conjecture for Odd 2-dimensional Representations; Jacques Basmaji,Ian Kiming,Lo?c Merel,Gerhard Frey Book 1994 Springer-Verlag

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發(fā)表于 2025-3-21 16:31:01 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱On Artin‘s Conjecture for Odd 2-dimensional Representations
編輯Jacques Basmaji,Ian Kiming,Lo?c Merel,Gerhard Frey
視頻videohttp://file.papertrans.cn/701/700947/700947.mp4
叢書名稱Lecture Notes in Mathematics
圖書封面Titlebook: On Artin‘s Conjecture for Odd 2-dimensional Representations;  Jacques Basmaji,Ian Kiming,Lo?c Merel,Gerhard Frey Book 1994 Springer-Verlag
描述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.
出版日期Book 1994
關(guān)鍵詞Artin‘s conjecture for L-series; Cusp forms; Galois group; Modular symbols; Volume; algorithms; constructi
版次1
doihttps://doi.org/10.1007/BFb0074106
isbn_softcover978-3-540-58387-5
isbn_ebook978-3-540-48681-7Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 1994
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發(fā)表于 2025-3-21 23:09:38 | 只看該作者
https://doi.org/10.1007/BFb0074106Artin‘s conjecture for L-series; Cusp forms; Galois group; Modular symbols; Volume; algorithms; constructi
板凳
發(fā)表于 2025-3-22 03:38:45 | 只看該作者
978-3-540-58387-5Springer-Verlag Berlin Heidelberg 1994
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5#
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6#
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Book 1994a 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
8#
發(fā)表于 2025-3-22 23:07:35 | 只看該作者
0075-8434 ations 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 op
9#
發(fā)表于 2025-3-23 03:26:33 | 只看該作者
A. Geometrical construction of 2-dimensional galois representations of A5-type. B. On the realisati of . such that . is Galois over . with group <. (corresponding to a 2-dimensional Galois representation of . with determinant of order 2), and if . is not of a special exceptional type, then there exists a curve . of genus 2 defined over . such that . can be described by means of coordinates of 5-torsion points of ..
10#
發(fā)表于 2025-3-23 07:30:36 | 只看該作者
A. Geometrical construction of 2-dimensional galois representations of A5-type. B. On the realisatif the 5-torsion points of a suitable elliptic curve .. It is well known that there exists such a curve . defined over . if and only if there exists a quadratic overfield . of . such that . is Galois over . with group <.. This corresponds to a 2-dimensional Galois representation of the Galois group .
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