Statistics for low-lying zeros of symmetric power L-functions in the level aspect
Idioma
en
Article de revue
Este ítem está publicado en
Forum Mathematicum. 2011, vol. 23, n° 5, p. 969-1028
De Gruyter
Resumen en inglés
We study one-level and two-level densities for low lying zeros of symmetric power L-functions in the level aspect. It allows us to completely determine the symmetry types of some families of symmetric power L-functions ...Leer más >
We study one-level and two-level densities for low lying zeros of symmetric power L-functions in the level aspect. It allows us to completely determine the symmetry types of some families of symmetric power L-functions with prescribed sign of functional equation. We also compute the moments of one-level density and exhibit mock-Gaussian behavior discovered by Hughes & Rudnick.< Leer menos
Proyecto ANR
Théorie modulaire des nombres et applications - ANR-07-JCJC-0140
Orígen
Importado de HalCentros de investigación