IMAS 23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
artículos
Título:
On the change of root numbers under twisting and applications
Autor/es:
ARIEL PACETTI
Revista:
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Editorial:
AMER MATHEMATICAL SOC
Referencias:
Lugar: Providence; Año: 2012
ISSN:
0002-9939
Resumen:
The purpose of this article is to show how the root numberof a modular form changes by twisting in terms of the local Weil-Delignerepresentation at each prime ideal. As an application, we show how onecan for each odd prime p, determine whether a modular form (or aHilbert modular form) with trivial nebentypus is Steinberg, PrincipalSeries or Supercuspidal at p by analyzing the change of sign under asuitable twist. We also explain the case p = 2, where twisting is notenough in general.
