On Artin's Conjecture for Odd 2-dimensional Representations
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.