In analogy with the Riemann zeta function at positive integers, for each finite field Fpr with fixed characteristic p we consider Carlitz zeta values ζr(n) at positive integers n. Our theorem asserts that among the zeta values in ∪∞ r=1 {ζr(1), ζr(2), ζr(3), . . . }, all the algebraic relations are those relations within each individual family {ζr(1), ζr(2), ζr(3), . . . }. These are the algebr...

The flow of the Riemann zeta function, ṡ = ζ(s), is considered, and phase portraits are presented. Attention is given to the characterization of the flow lines in the neighborhood of the first 500 zeros on the critical line. All of these zeros are foci. The majority are sources, but in a small proportion of exceptional cases the zero is a sink. To produce these portraits, the zeta function was ...

BACKGROUND Reducing the percentage of sperm anomalies in insemination samples remains a goal to be achieved in the intra-cytoplasmic sperm insemination (ICSI) procedure. The aim of this study was to evaluate the efficiency of density gradient centrifugation (DGC) and Zeta methods to recover sperm with intact chromatin, and to evaluate whether the combined DGC/Zeta procedure improved ICSI outcom...

This paper introduces a new technique for discretization of continuous variables based on zeru, a measure of strength of association between nominal variables developed for this purpose. Zeta is defined as the maximal accuracy achievable if each value of an independent variable must predict a different value of a dependent variable. We describe both how a continuous variable may be dichotomised...

clopidogrel, an inhibitor of platelet aggregation, selectively inhibits the binding of adenosine diphosphate (adp) to its platelet receptor and the subsequent adp-mediated activation of the glycoprotein gpiib/iiia complex, thereby inhibiting platelet aggregation. oral bioavailability of clopidogrel is very low (less than 50%), due to its poor water solubility. the aim of this investigation was ...

objective(s): the purpose of this study was preparation and evaluation of plga nanospheres containing the influenza virus and different adjuvants, quillaja saponin (qs) and cpg-odn.   materials and methods: nanospheres were prepared using the double emulsion-solvent evaporation method. the morphological and physicochemical properties were studied by scanning electron microscopy (sem), determina...

We studied the pharmacokinetics of dichloroacetate (DCA) in naive rats and rats depleted of glutathione S-transferase-zeta (GST-zeta), at doses approaching human daily exposure levels. We also compared in vitro metabolism of DCA by rat and human liver cytosol. Jugular vein-cannulated male Fischer-344 rats received graded doses of DCA ranging from 0.05 to 20 mg/kg (intravenously or by gavage), a...

by the method of weight coefficients, techniques of real analysis andhermite-hadamard's inequality, a half-discrete hardy-hilbert-type inequalityrelated to the kernel of the hyperbolic cosecant function with the best possibleconstant factor expressed in terms of the extended riemann-zeta function is proved.the more accurate equivalent forms, the operator expressions with the norm,the reverses a...