Let $\pi$ be a Hecke-Maass cusp form for $SL(3,\mathbb Z)$ and $f$ holomorphic (or Maass) Hecke $SL(2,\mathbb{Z})$. In this paper we prove the following subconvex bound $$ L\left(\tfrac{1}{2}+it,\pi\times f\right)\ll_{\pi,f,\varepsilon} (1+|t|)^{\frac{3}{2}-\frac{1}{42}+\varepsilon}.

Background: Fungal corneal ulcer is the most dangerous and challenging type of infective keratitis.  Since most of the ophthalmic antifungal drops are scarce and expensive in developing countries, attempts have been made to study fungicidal property of some readily available antiseptic agents as a substitute.  Povidone iodine (PI) and chlorhexidine gluconate (CHx) has been postulated to be effe...

To define the prevalence of pilus islet 2 (PI-2)-encoded pili in Streptococcus pneumoniae in a geographically defined area, we examined 590 S. pneumoniae isolates from population-based surveillance of invasive pneumococcal disease in Atlanta, Georgia, USA, 1994-2006. In 2006, PI-2 was present in 21% of all invasive isolates, including serotypes 1 (100%), 7F (89%), 11A (21%), 19A (40%), and 19F ...

Phosphatidylinositol 4,5-bisphosphate (PI(4,5)P(2)) and phosphatidylinositol 3,4,5-trisphosphate (PI(3,4,5)P(3)) are physiologically important second messengers. These molecules bind effector proteins to modulate activity. Several types of ion channels, including the epithelial Na(+) channel (ENaC), are phosphoinositide effectors capable of directly interacting with these signaling molecules. L...

We consider minimal graphs $$u = u(x,y) > 0$$ over unbounded domains $$D \subset R^2$$ bounded by a Jordan arc $$\gamma $$ on which . prove sort of reverse Phragmén-Lindelöf theorem showing that if D contains sector $$\begin{aligned} S_{\lambda }=\{(r,\theta )=\{-\lambda /2<\theta<\lambda /2\},\quad \pi <\lambda \le 2\pi , \end{aligned}$$ then the rate growth is at most $$r^{\pi /\lambda }$$

Three-body calculations of $K\bar{K}N$ system with quantum numbers $I=1/2$, $J^{\pi}=(\frac{1}{2})^{+}$ were performed. Using separable potentials for two-body interactions, we calculated the $\pi\Sigma$ mass spectra $(\bar{K}N)_{I=0}+K^{+}\rightarrow(\pi\Sigma)^{0}K^{+}$ reaction on basis three-body Alt-Grassberger-Sandhas equations in momentum representation. In this regard, different types $...