We propose a geometric interpretation of the classical Rankin-Selberg method for GL(n) in the framework of the geometric Langlands program. Our main result is local, its classical counterpart is the RankinSelberg computation of convolution of two Hecke eigenforms with an Eisenstein series. For n = 2 we apply it to prove a global result that gives a geometric version of the computation of the sc...

Five novel complexes were prepared by reacting 2-((E)-(tert-butylimino)methyl)phenol (HL2) with Ln(NO3)3xH2O (Ln = Gd and Dy ; x 6 5, respectively) LnCl3-6H2O Nd, Dy). The crystal structures of the former two Ln(III) nitrate are isostructural coordination sphere is composed three monodentate HL2 ligands bonded to metal centre through phenolic oxygen atom ions coordinated in a bidentate fashion....

HERALDO A. BRITSKI l ROBERTO D. ANDREUCCI2 NA1!JRCIO A. MENEZES 1

We will prove that a closed connected set S in ET whose points of local nonconvexity can be decomposed into a finite number of convex parts also possesses a simple type of polygonal connectedness. Furthermore, if S has a finite number of points of local nonconvexity, we obtain another result. In order to describe this situation easily we use the notation of Ln set used by Horn and Valentine [l ...

To determine whether subendothelial laminins (LNs) could be implicated in the extravasation of neoplastic lymphocytes, we have examined the distribution of a number of LN isoforms in human vascular structures of adult individuals and have assayed the ability of the isolated LN molecules to promote adhesion of lymphoma and leukemic cells in vitro using a novel cell adhesion assay, CAFCA, Centrif...

We investigate interlacing properties of zeros Laguerre polynomials Ln(α)(x) and Ln+1(α+k)(x), α>−1, where n∈N k∈{1,2}. prove that, in general, the these interlace partially not fully. The sharp t-interval within which two equal degree Ln(α+t)(x) are for every each α>−1 is 0<t≤ 2, [Driver K, Muldoon ME. Sharp interval polynomials. J Approx Theory, to appear.], consecutive Ln−1(α+t)(x) 0≤t≤ Comm...

The notion that human perceptual decisions are based on discrete processing cycles rather than a continuous accumulation ofinformation was examined experimentally. Significant periodicities were found in hwnan response times (RT) to feature and conjunction discrimination tasks in the visual and auditory modalities. Individual RT histograms were multimodal. with regularly spaced peaks and trough...

Trinuclear rare-earth metal methylidene complexes with a Ln3(μ3-CH2)(μ3-Me)(μ2-Me)3 structural motif were synthesized by applying three protocols. Polymeric [LuMe3]n (1-Lu) reacts with the sterically demanding amine H[NSiMe3(Ar)] (Ar = C6H3iPr2-2,6) in tetrahydrofuran via methane elimination to afford isolable monomeric [NSiMe3(Ar)]LuMe2(thf)2 (4-Lu). The formation of trinuclear rare-earth meta...