ENGLISH

On Artin’s Conjecture for Odd 2-Dimensional Representations

By Gerhard Frey (Editor)

Book information

Publisher
Springer
Year
1994
ISBN
3540583874, 9783540583875
LCC
QA3 .L28 no. 1585,QA351 .L28 no. 1585
Language
english
Format
DJVU
Filesize
1011 kB (1035189 bytes)
Series
Lecture Notes in Mathematics
Edition
1
Pages
156\161
Time added
2011-06-04 13:46:07

Description

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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