Contribution of symmetric power transfers to the cuspidal cohomology of GLn{\rm GL_n}

Let $\pi$ be a cuspidal automorphic representation of ${\mathrm {GL}}_2(\mathbb{A}_\mathbb{Q})$. Newton and Thorne have proved that for every $n\geq 1$, the symmetric power lifting ${{\mathrm {sym}}^n(\pi)}$ is automorphic if $\pi$ is attached to a non-CM Hecke eigenform. In this article, we establish an asymptotic estimate of the number of cuspidal automorphic representations of ${\mathrm {GL}}_{n+1}(\mathbb{A}_\mathbb{Q})$ which contribute to the cuspidal cohomology of ${\mathrm {GL}}_{n+1}$ and are obtained by symmetric $n$th transfer of cuspidal representations of ${\mathrm {GL}}_2(\mathbb{A}_\mathbb{Q})$. Here we fix the weight and vary the level. This generalises the previous works done for ${\mathrm {GL}}_3$ and ${\mathrm {GL}}_4$.Comment: 12 page

An enolato-bridged dinuclear Cu(II) complex with a coumarin-assisted precursor: a spectral, magnetic and biological study

Coumarin assisted dinuclear [Cu2(L)2(DMF)2] (1) shows weak ferromagnetic interaction and a geometric distortion occurs while lowering the temperature in EPR

A Ni(II) dinuclear complex bridged by end-on azide-N and phenolate-O atoms: spectral interpretation, magnetism and biological study

A new dinuclear complex, [Ni(L)(μ1,1-N3)Ni(L)(OH2)2]·ClO4(1), has been synthesized. It shows the presence of ferromagnetic interactions and is endowed with both anti-mycobacterial and anticancer properties

Spectroscopic characterization, antimicrobial activity and molecular docking study of novel azo-imine functionalized sulphamethoxazoles

Financial support from University Grants Commission (F.42-333/2013(SR)) and the Council of Scientific and Industrial Research (01(2894)/09/EMR-II), New Delhi are gratefully acknowledged.[SMX—N=N—C6H3—(p-OH)(m—CHO)] ( 1 ) reacts with ArNH2 to synthesize Schiff bases, [SMX—N=N—C6H3—(pOH)(m—HC=N—Ar)] (Ar =—C6H5 ( 2a ), —C6H4—p—CH3 ( 2b ), —C6H4—p—OCH3 ( 2c ), —C6H4—p—Cl ( 2d ), —C6H4—p—NO2 ( 2e ), —C10H7 ( 2f )) and the products have been assessed for antibacterial properties against Gram positive bacteria, B. subtillis: IC50 (μg/ml): 39.2 ( 1 ), 60.1 ( 2a ), 64.0 ( 2b ), 85.6 ( 2c ), 55.1 ( 2d ), 88.4 ( 2e ) and 65.1 ( 2f ); and Gram negative bacteria, E. coli: IC50 (μg/ml): 159.0 ( 1 ), 151.4 ( 2a ), 155.3 ( 2b ), 140 ( 2c ), 156.0 ( 2d ), 153.5 ( 2e ) and 157 ( 2f ). The cell line toxicity (Vero cells) has also been evaluated with these compounds and EC50 (μg/ml) values are 129.9 ( 1 ), 74.2 ( 2a ) and 93.0 ( 2b ), 191.9 ( 2c ), 99.1 ( 2d ), 93.2 ( 2e ) and 62.0 ( 2f ). The anti-viral efficiency against harpies virus (HSV1F ATCC-733) infection demonstrates that the compound 1 has highest selectivity index (CC50/EC50), 5.06 than the compounds 2a-f (CC50/EC50: 1.18 ( 2a ), 1.42 ( 2b ), 3.50 ( 2c ), 1.45 ( 2d ), 1.58 ( 2e ), 1.29 ( 2f )). The compounds have been spectroscopically characterized and the structural confirmation has been established in one case by single crystal X-ray diffraction studies of 2c . In silico Molecular Docking study has been done using optimized geometries of the compounds to search the most favored binding mode of these drugs and hence useful to explain their competitive drug efficiency.PostprintPeer reviewe

Predicting IUGR by Uterine and Umbilical doppler: Though Old but Gold

Introduction- The uterine and umbilical artery Doppler interrogation is an established non-invasive tool for evaluation of placental blood flow in pregnancy. The doppler studies have huge potential in detecting placental insufficiency which increases the risk of complications like preeclampsia, intrauterine growth-restriction (IUGR).This leads to early prediction and better surveillance, which ultimately results in reduction of maternal and perinatal mortality. Objective- This study was aimed to evaluate and compare the uterine and umbilical artery Doppler indices for early prediction of IUGR. Method- This prospective observational study was conducted over one year on 100 low-risk and 50 high-risk singleton pregnancies. All antenatal women were subjected to screening Doppler studies between 21-25 weeks and 31-35 weeks and followed up for subsequent development of IUGR and other pregnancy outcomes. Results: Out of the 150 study population, 19 mothers delivered IUGR fetus with incidence of 12.67% (5% in low-risk and 28% in high-risk women). 48 study participants had abnormal Doppler values; 43 had uterine artery and 17 had umbilical artery Doppler abnormality. 12 women had both uterine and umbilical artery Doppler abnormalities, out of these 9 developed IUGR. Out of 5 women who had bilateral persistent uterine artery diastolic notches, 3 delivered IUGR baby. For predicting IUGR in second trimester, the right uterine RI was most sensitive with highest NPV and right uterine PI was most specific. The PPV of PI of right uterine and umbilical artery was highest during the time. For IUGR prediction in third trimester, all Doppler parameters were highly specific and had good NPV. The sensitivity of all the parameters was low, the highest being 37% for left uterine RI and S/D. The PPV of umbilical artery RI (83%) was significantly higher than others. In both the trimesters the sensitivity, specificity and NPV of all the Doppler parameters was similar. The combined abnormal uterine and umbilical artery Doppler reveals a higher sensitivity (47.37%), NPV (92.81%) and PPV (75%), thus a better predictor of IUGR. Conclusion: The Doppler velocimetry is a useful tool for placental circulation surveillance especially in high-risk pregnancies. It is recommended to perform second trimester Doppler meticulously for early prediction and timely intervention in high-risk pregnancy. The second trimester uterine artery RI, persistent uterine artery diastolic notch, combined Doppler abnormalities of both arteries has good predictive value for growth restriction

Arylazoimidazole complexes of lead(II)-halide and their photochromism

418-426Lead(II) complexes of 1-alkyl-2-(arylazo)imidazole (Raai-CnH2n+1), [Pb(Raai-CnH2n+1)X2] (X = Cl, Br, I; and Raai-CnH2n+1, R = H, Me and n = 4, 6, 8) have been characterized by UV-vis, IR and 1H-NMR spectroscopy. The coordinated Raai-CnH2n+1 in the complexes undergoes E-to-Z (trans-to-cis) isomerisation about the –N=N– group upon being irradiated with UV light in DMF solution. The rate and quantum yields of E-to-Z photoisomerisation (φE→Z) of the complexes are poorer than the respective free ligand response and are also affected by the nature of halide present (Cl-, Br- and I-). Variation in physicochemical parameters may be correlated with the effective mass of the photochrome. The rate of isomerisation follows the sequence: [Pb(Raai-CnH2n+1)Cl2] nH2n+1)Br2] nH2n+1)I2]. The Z-to-E isomerisation has been carried out at varying temperatures (298–308 K) to determine the activation energy of Z-to-E (cis-to-trans) isomerisation (Ea: 47.09–63.42 kJ mol-1) and the entropy of activation (S : 166.52 to –109.0 J mol-1 K-1) which is a large negative in the complexes. Theoretical calculation supports cleavage of Pb(II)-N(azo) bond followed by the –N=N– rotation in a three-coordinated symmetry rather than the four-coordinated symmetry

Triply phenoxo bridged Eu(III) and Sm(III) complexes with 2,6-diformyl-4-methylphenol-di(benzoylhydrazone): structure, spectra and biological study in human cell lines

Two dinuclear lanthanide(III) complexes, [M2(HL)3] (M = Sm(III) (1), Eu(III) (2); H3L, 2,6-diformyl-4-methylphenol-di(benzoylhydrazone)) were generated with good yield and characterised systematically. The single crystal X-ray structure determination of [Eu2(HL)3] (2) confirmed the tricapped trigonal prismatic geometry of the N3O6 coordination environment around europium. Indeed, Eu(1) and Eu(2) are bridged by phenolato-O belonging to the p-cresol ring, by deprotonated ‘enol’ groups from the benzoyl hydrazide part and by the imine-N centres. A temperature dependent magnetic study suggested that anti-ferromagnetic coupling occurs between the two Eu(III) ions and the magnetic moment was found to vary from 0.48 B.M. at 5 K to 3.03 B.M. at 300 K. Electron paramagnetic resonance spectroscopy confirmed that anti-ferromagnetic coupling occurs between the atoms of Eu(III) and Sm(III). Both the complexes show emission in the visible range. The ligand, H3L and the complexes exhibit anti-mycobacterial activity against M. tuberculosis H37Rv (ATCC 27294) and M. tuberculosis H37Ra (ATCC 25177) strains. The molecular docking of H3L with the enoyl acyl carrier protein reductase of M. tuberculosis H37Rv (PDB ID: 4U0K) was examined and the best docked pose of H3L was shown to have one hydrogen bond with Thr196 (2.03 Å)