Let 1∕2≤β<1, p be a generic prime number and fβ random multiplicative function supported on the squarefree integers such that (fβ(p))p is an i.i.d. sequence of variables with distribution P(f(p)=−1)=β=1−P(f(p)=+1). Fβ Dirichlet series fβ. We prove formula involving measure-preserving transformations relates Riemann ζ Fβ, for certain values β, give application. Further, we hypothesis connected m...

We consider the continuous time symmetric random walk with a slow bond on Z, which rates are equal to 1/2 for all bonds, except of vertices {−1,0}, associated rate is given by αn−β/2, where α>0 and β∈[0,∞] parameters model. prove here functional central limit theorem bond: if β∈[0,1), then it converges usual Brownian motion. If β∈(1,∞], reflected And at critical value β=1, snapping out motion (...

Cinnamomum longepaniculatum essential oil (CLEO) possesses antibacterial, anti-inflammatory, and antioxidant activities. However, CLEO shows volatilization poor solubility, which limits its application field. In this research, inclusion complexes of β-cyclodextrin (β-CD) with were produced, physicochemical properties characterized. Response surface methodology was used to obtain optimum prepara...

We continue the study, initiated in (J. Eur. Math. Soc. (JEMS) 20 (2018) 199–257), of localization transition a lattice free field ϕ=(ϕ(x))x∈Zd, d≥3, presence quenched disordered substrate. The substrate affects interface at spatial sites which height is close to zero. This corresponds Hamiltonian ∑x∈Zd(βωx+h)δx, where δx= 1[−1,1](ϕ(x)), and (ωx)x∈Zd an i.i.d. centered field. A takes place when...

Integration of β-Ga2O3 with high thermal conductivity materials such as diamond has been considered due to β-Ga2O3's low and anisotropic conductivity, reaching only 27 W m–1 K–1. However, the effect crystallographic orientation on interface resistance not studied extensively, which is relevant for potential device architectures. In this work, we use molecular dynamics simulations investigate cr...

  Objective(s): The aim of this work was to investigate the effect of the natural and the chemically modified form of cyclodextrins namely; β-cyclodextrin (β-CD) and hydroxypropyl-β-cyclodextrin (HP-β-CD) respectively on the solubility and dissolution rate of aripiprazole; an antipsychotic medication showing poor aqueous solubility.   Materials and Methods: Phase solubility of ar...

Let q≥5 be a prime power. In this note, we prove that if plane curve X of degree q−1 defined over Fq without Fq-linear components attains the Sziklai upper bound (d−1)q+1=(q−1)2 for number its Fq-rational points, then is projectively equivalent to C(α,β,γ):αXq−1+βYq−1+γZq−1=0 some α,β,γ∈Fq⁎ such α+β+γ=0. This completes classification curves are extremal with respect bound. Also, since equal Stö...