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Computing congruences of modular forms and Galois representations modulo prime powers

Autor
Taixés, X.; Wiese, G.
Tipus d'activitat
Article en revista
Revista
Contemporary mathematics
Data de publicació
2010
Volum
521
Pàgina inicial
145
Pàgina final
170
Repositori
http://hdl.handle.net/2117/11544 Obrir en finestra nova
Resum
This article starts a computational study of congruences of modular forms and modular Galois representations modulo prime powers. Algorithms are described that compute the maximum integer modulo which two monic coprime integral polynomials have a root in common in a sense that is defined. These techniques are applied to the study of congruences of modular forms and modular Galois representations modulo prime powers. Finally, some computational results with implications on the (non-)liftability o...
Citació
Taixés, X.; Wiese, G. Computing congruences of modular forms and Galois representations modulo prime powers. "Contemporary mathematics", 2010, vol. 521, p. 145-170.

Participants

  • Taixes Ventosa, Xavier  (autor)
  • Wiese, Gabor  (autor)

Arxius