In this paper, we study explicit and theoretical bounds for several interesting quantities in number theory, conditionally on the Generalized Riemann Hypothesis. Specifically, we improve the existing explicit bounds for the least quadratic non-residue and the least prime in an arithmetic progression. We also refine the classical conditional bounds of Littlewood for L-functions at s = 1. In part...

— For given positive integers a, b, q we investigate the density of solutions (x, y) ∈ Z to congruences ax+ by ≡ 0 mod q.

The free action for the massless sector of the Type II superstring was recently constructed using closed RNS superstring field theory. The supersymmetry transformations of this action are shown to satisfy an N=2 D=10 SUSY algebra with Ramond-Ramond

In this paper quadratic residue codes over the ring Fp + vFp are introduced in terms of their idempotent generators. The structure of these codes is studied and it is observed that these codes share similar properties with quadratic residue codes over finite fields. For the case p = 2, Euclidean and Hermitian self-dual families of codes as extended quadratic residue codes are considered and two...

Natural fibers (NFs) have recently been the center of attention among researchers due to their low cost, availability, ease manufacture, and potential environmental friendliness as reinforcing agents in composites. The present work deals with mechanical behavior palm fiber-reinforced epoxy-based composites different weight percentage (Wt.%) ratios, ranging from 6% 31.6%. Glass hybrid were also ...

one method of seed placement into the soil as regards no-till system is the use of punch planting by which one can plant through a considerable depth of surface residue. the study was conducted using a 2?3 split-plot experimental design of three replications. the factors considered were two types of plantes (conventional planter vs. hinging pneumatic punch planter) and three levels of wheat res...

Type XIX collagen was discovered from the sequence of rhabdomyosarcoma cDNA clones. The chain is composed of a 268-residue amino terminus, an 832-residue discontinuous collagenous region, and a 19-residue carboxyl peptide. Light microscopy immunohistochemistry of adult human tissues demonstrated that type XIX is localized in vascular, neuronal, mesenchymal, and some epithelial basement membrane...

in this article, we propose an adaptive grid based on mesh equidistribution principle for two-parameter convection-diffusion boundary value problems with continuous and discontinuous data. a numerical algorithm based on an upwind finite difference operator and an appropriate adaptive grid is constructed. truncation errors are derived for both continuous and discontinuous problems. parameter uni...

the effects of soil tillage methods and residue management were studied at miandoab agriculure station during 2003-2005. the experiment design was split block with the main plots devoted to residual management strategies (burning residue, crushing residue by disk, no treatment). subplots were tillage methods (moldboard plowing to 20-25 cm in fall, moldboard plowing to 20-25 cm in spring, moldbo...

leaving crop residues on the soil surface may significantly affect the behavior and activity of herbicides. in order to study the effect of wheat residue and different rates of trifluralin (%48 ec) herbicide on the yield and oil content of sunflower (helianthus annuus) a field experiment was done in agricultural research station, the university of birjand in summer 2008. experimental design was...