Lecture Notes in Mathematics

Frey, Gerhard

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.

Details

Published by: Springer

Publication Date: 1994-10-26

Format: Paperback

ISBN-13: 9783540583875

DOI: 10.1007/BFb0074106

Dimensions: 235cm x155cm

Pages: 156