7,673 research outputs found
Conjectures for the integral moments and ratios of L-functions over function fields
We extend to the function field setting the heuristic previously developed,
by Conrey, Farmer, Keating, Rubinstein and Snaith, for the integral moments and
ratios of -functions defined over number fields. Specifically, we give a
heuristic for the moments and ratios of a family of -functions associated
with hyperelliptic curves of genus over a fixed finite field
in the limit as . Like in the number field
case, there is a striking resemblance to the corresponding formulae for the
characteristic polynomials of random matrices. As an application, we calculate
the one-level density for the zeros of these -functions.Comment: 40 page
Mean Value Theorems for L-functions over Prime Polynomials for the Rational Function Field
The first and second moments are established for the family of quadratic
Dirichlet --functions over the rational function field at the central point
where the character is defined by the Legendre symbol
for polynomials over finite fields and runs over all monic irreducible
polynomials of a given odd degree. Asymptotic formulae are derived for
fixed finite fields when the degree of is large. The first moment obtained
here is the function field analogue of a result due to Jutila in the
number--field setting. The approach is based on classical analytical methods
and relies on the use of the analogue of the approximate functional equation
for these --functions.Comment: 17 page
Flight test performance and description of a rocket vihicle for producing low-speed artificial meteors
Flight test of trailblazer i reentry vehicle and production of artificial iron meteor
Improved reference models for middle atmosphere ozone
Improvements are provided for the ozone reference model which is to be incorporated in the COSPAR International Reference Atmosphere (CIRA). The ozone reference model will provide considerable information on the global ozone distribution, including ozone vertical structure as a function of month and latitude from approximately 25 to 90 km, combining data from five recent satellite experiments (Nimbus 7 LIMS, Nimbus 7 SBUV, AE-2 SAGE, Solar Mesosphere Explorer (SME) UVS, and SME IR). The improved models are described and use reprocessed AE-2 SAGE data (sunset) and extend the use of SAGE data from 1981 to the period 1981-1983. Comparisons are shown between the ozone reference model and various nonsatellite measurements at different levels in the middle atmosphere
Settling Through Consent Decree in Prison Reform Litigation: Exploring the Effects of Rufo v. Inmates of Suffolk County Jail
- …