Let g ∈ Q be not −1 or a square. Let Pg denote the set of primes p such that g is a primitive root mod p. Let 1 ≤ a ≤ f, (a, f) = 1. Under the Generalized Riemann Hypothesis (GRH) it can be shown that the set of primes p ∈ Pg with p ≡ a(mod f) has a natural density. In this note this density is explicitly evaluated. This generalizes a classical result of Hooley.

Background: There is a wide variation in epidemiology and clinical profile of children with seizures following a head injury. Head injury can result from a variety of trauma to the head and remains a worldwide public health problem. Purpose: To determine the prevalence and characteristics of posttraumatic epilepsy among epileptic children seen in a pediatric neurology clinic in Enugu, Nigeria. ...

In integrable many-particle systems, it is widely believed that the stationary state reached at late times after a quantum quench can be described by a generalized Gibbs ensemble (GGE) constructed from their extensive number of conserved charges. A crucial issue is then to identify a complete set of these charges, enabling the GGE to provide exact steady-state predictions. Here we solve this lo...

Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at http://www.jstor.org/about/terms.html. JSTOR's Terms and Conditions of Use provides, in part, that unless you have obtained prior permission, you may not download an entire issue of a journal or multiple copies of articles, and you may use content in the JSTOR archive only for your perso...

The generalized differential quadrature (GDQ) method is used to obtain the computational results of two-layer cross-ply laminated shell under rapid uniform heat induced vibration. In the thermally insulated vibration analyses of a laminated shell, the sudden uniform heat input over its lower surface only and temperature load is linear of axial coordinate. The GDQ method provides a method for ca...

Epilepsy is a common outcome of traumatic brain injury (TBI), but the mechanisms of posttraumatic epileptogenesis are poorly understood. One clue is the occurrence of selective hippocampal cell death after fluid-percussion TBI in rats, consistent with the reported reduction of hippocampal volume bilaterally in humans after TBI and resembling hippocampal sclerosis, a hallmark of temporal-lobe ep...