On Artin's conjecture for odd 2-dimensional representations. Lecture notes in mathematics ; Vol. 1585

Frey, Gerhard,

ISBN 10: 3540583874 / ISBN 13: 9783540583875

Published by Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo ; Hong Kong ; Barcelona ; Budapest : Springer, 1994

About this Item

VI, 148 pages Ex-Library book in very good condition. 9783540583875 Sprache: Englisch Gewicht in Gramm: 440.

Seller Inventory # 1166214

Bibliographic Details

• Title: On Artin's conjecture for odd 2-dimensional representations. Lecture notes in mathematics ; Vol. 1585
• Publisher: Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo ; Hong Kong ; Barcelona ; Budapest : Springer
• Publication Date: 1994
• Language: English
• ISBN 10: 3540583874
• ISBN 13: 9783540583875
• Binding: Soft cover
• Seller catalogs:
  • SA MATHEMATIK

About this title

Synopsis

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.