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On Artin's Conjecture for Odd 2-Dimensional Representations : Lecture Notes in Mathematics - Gerhard Frey

On Artin's Conjecture for Odd 2-Dimensional Representations

Lecture Notes in Mathematics

By: Gerhard Frey (Editor)

Paperback Published: 26th October 1994
ISBN: 9783540583875
Number Of Pages: 156

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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.

On the experimental verification of the Artin conjecture for 2-dimensional odd Galois representations over Qp. 1
Liftings of 2-dimensional projective Galois representations over Qp. 1
A table of A[subscript 5]-fieldsp. 37
Geometrical construction of 2-dimensional Galois representations of A[subscript 5]-typep. 47
On the realisation of the groups PSL[subscript 2](l) as Galois groups over number fields by means of l-torsion points of elliptic curvesp. 47
Universal Fourier expansions of modular formsp. 59
The Hecke operators on the cusp forms of [Gamma][subscript 0](N) with nebentypep. 95
Examples of 2-dimensional odd Galois representations of A[subscript 5]-type over Q satisfying the Artin conjecturep. 109
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783540583875
ISBN-10: 3540583874
Series: Lecture Notes in Mathematics
Audience: General
Format: Paperback
Language: English
Number Of Pages: 156
Published: 26th October 1994
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 0.89
Weight (kg): 0.24

Earn 138 Qantas Points
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