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

Frey, Gerhard,

ISBN 10: 3540583874 / ISBN 13: 9783540583875

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

Riguardo questo articolo

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

Codice articolo 1166214

Dati bibliografici

• Titolo: On Artin's conjecture for odd 2-dimensional representations. Lecture notes in mathematics ; Vol. 1585
• Editore: Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo ; Hong Kong ; Barcelona ; Budapest : Springer
• Data di pubblicazione: 1994
• Lingua: Inglese
• ISBN 10: 3540583874
• ISBN 13: 9783540583875
• Rilegatura: Brossura
• Peso: 440 grammi
• Cataloghi dei venditori:
  • SA MATHEMATIK

Descrizione articolo

Riassunto

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.

Contenuti

On the experimental verification of the artin conjecture for 2-dimensional odd galois representations over Q liftings of 2-dimensional projective galois representations over Q.- A table of A5-fields.- A. Geometrical construction of 2-dimensional galois representations of A5-type. B. On the realisation of the groups PSL2(1) as galois groups over number fields by means of l-torsion points of elliptic curves.- Universal Fourier expansions of modular forms.- The hecke operators on the cusp forms of ?0(N) with nebentype.- Examples of 2-dimensional, odd galois representations of A5-type over ? satisfying the Artin conjecture.