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On Artins Conjecture For Odd 2 Dimensional Representations Gerhard  Frey

On Artins Conjecture For Odd 2 Dimensional Representations

Gerhard Frey

Published October 26th 1994
ISBN : 9783540583875
Paperback
156 pages
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 About the Book 

The main topic of the volume is to develop efficient algorithms by which one can verify Artins conjecture for odd two-dimensional representations in a fairly wide range. To do this, one has to determine the number of all representations with givenMoreThe main topic of the volume is to develop efficient algorithms by which one can verify Artins 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.