ABSTRACT. 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 de-termine 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. CONTENT
We compute the one-level density for the family of cubic Dirichlet L-functions when the support of t...
In this paper the authors apply to the zeros of families of L-functions with orthogonal or symplecti...
ABSTRACT. Previous work by Rubinstein [Rub] and Gao [Gao] computed the n-level den-sities for famili...
ABSTRACT. We study one-level and two-level densities for low lying zeros of symmetric power L-functi...
We study one-level and two-level densities for low lying zeros of symmetric power L-functions in the...
International audienceWe study one-level and two-level densities for low lying zeros of symmetric po...
In a previous paper, the authors determined, among other things, the main terms for the one-level de...
From a family of L-functions with unitary symmetry, Hughes and Rudnick obtained results on the heigh...
AbstractTextOne of the most important statistics in studying the zeros of L-functions is the 1-level...
ABSTRACT. One of the most important statistics in studying the zeros of L-functions is the 1-level d...
We study some problems on the distribution of values of symmetric power L-functions at s = 1 in both...
Abstract. We investigate the moments of a smooth counting function of the zeros near the central poi...
We investigate the moments of a smooth counting function of the zeros near the central point of L-fu...
ABSTRACT. The Katz-Sarnak density conjecture states that the scaling limits of the dis-tributions of...
We investigate the large weight (k → ∞) limiting statistics for the low lying zeros of a GL(4) and a...
We compute the one-level density for the family of cubic Dirichlet L-functions when the support of t...
In this paper the authors apply to the zeros of families of L-functions with orthogonal or symplecti...
ABSTRACT. Previous work by Rubinstein [Rub] and Gao [Gao] computed the n-level den-sities for famili...
ABSTRACT. We study one-level and two-level densities for low lying zeros of symmetric power L-functi...
We study one-level and two-level densities for low lying zeros of symmetric power L-functions in the...
International audienceWe study one-level and two-level densities for low lying zeros of symmetric po...
In a previous paper, the authors determined, among other things, the main terms for the one-level de...
From a family of L-functions with unitary symmetry, Hughes and Rudnick obtained results on the heigh...
AbstractTextOne of the most important statistics in studying the zeros of L-functions is the 1-level...
ABSTRACT. One of the most important statistics in studying the zeros of L-functions is the 1-level d...
We study some problems on the distribution of values of symmetric power L-functions at s = 1 in both...
Abstract. We investigate the moments of a smooth counting function of the zeros near the central poi...
We investigate the moments of a smooth counting function of the zeros near the central point of L-fu...
ABSTRACT. The Katz-Sarnak density conjecture states that the scaling limits of the dis-tributions of...
We investigate the large weight (k → ∞) limiting statistics for the low lying zeros of a GL(4) and a...
We compute the one-level density for the family of cubic Dirichlet L-functions when the support of t...
In this paper the authors apply to the zeros of families of L-functions with orthogonal or symplecti...
ABSTRACT. Previous work by Rubinstein [Rub] and Gao [Gao] computed the n-level den-sities for famili...