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.

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...

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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...

introduction: seizure is the most common pediatric neurology problem that occurs in 10% of children. the purpose of this study was to determine the recurrence rate of seizures after one year and its relationship with paraclinical findings of the first attack. methods : in a historical cohort analytic study , 131 children with first seizure admitted to shaheed sadoughi hospital between march 200...

The invertible, compact and Fredholm multiplication operators on generalized Lorentz-Zygmund (GLZ) spaces Lp,q;α, 1 < p ≤ ∞, 1 ≤ q ≤ ∞, α in the Euclidean space R, are characterized in this paper.

introduction: febrile seizure is the most common problem in pediatric neurology that occur s in 3– 4% of children. the purpose of this study was to evaluate demographic and clinical characteristics of first febrile seizures in children admitted to the hospital. methods: in a descriptive retrospective study, medical records of children with first febrile seizure, admitted between march 2004and a...

how to cite this article: fallah r, tirandazi f, ferdosian f, fadavi n. iron deficiency and iron deficiency anemia in children with first attack of seizure and on healthy control group : a comparative study. iran j child neurol. 2014 summer;8(3): 18-23.   abstract objective seizures are the most common pediatric neurologic problem. research of the association between iron deficiency and seizure...

introduction: febrile seizure is the most common type of seizure that occurs in 3– 4% of children below the age of 5 years. the purpose of this study was to determine the frequency of recurrence of febrile and afebrile seizures after the first febrile seizure. methods: in a descriptive prospective study, 139 children (6months to 6years old) admitted between march 2004and august 2005 at yazd sha...

A theorem of W. Kohnen states that the generalized Riemann hypothesis (GRH) holds on an average for holomorphic cusp forms on the upper half plane for the full modular group SL2(Z). In this article we prove a couple of generalizations of this theorem of Kohnen that the GRH holds on an average for holomorphic cusp forms on the upper half plane for arbitrary level, weight and primitive nebentypus...