On Artin's Conjecture for Odd 2-dimensional Representations

Beschreibung

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.

Autor*in

Gerhard Frey

Themen in »On Artin's Conjecture for Odd 2-dimensional Representations«

Artin's conjecture for L-series Cusp forms Galois group Modular symbols Volume algorithms construction elliptic curve form knowledge modular form presentation torsion verification

Stimmen zu »On Artin's Conjecture for Odd 2-dimensional Representations«

Details

Link teilen