A Khintchine type theorem for hyperplanes

We prove that the convergence Khintchine theorem holds for affine hyperplanes whose parametrizing matrices satisfy a mild Diophantine condition. We use the dynamical method of Kleinbock-Margulis.Comment: 14 page

Economic reform and Productivity Growth in Indian Paper and Paper Products Industry: A Nonparametric Analysis

This paper applied the Malmquist Productivity Index in order to estimate total factor productivity growth and its components (efficiency change and technological progress) in Indian paper and paper products industry during pre and post-reform period. The obtained estimates of TFP change at the aggregate and sectoral level, indicates that the net impact of economic reforms on the productivity growth of paper and paper products industry was negative. It was evident in the study that the negative TFP change was decreased (from -8.6% to -5.2%) in the post-reform period in paper and paper products industry at the aggregate level. It was found in this study that the technical efficiency change and the technical change was the deteriorating factor for productivity change in Indian paper and paper products industry. Among similar trends were observed at the sub-sectoral level also. Further, the results of this study suggest that specific policies should be implemented in order to improve efficiency as well as technical progress, thus ultimately facilitating long-run productivity growth.Indian Paper Industry; Economic Reforms; Productivity; Malmquist Index

Diophantine approximation on lines with prime constraints

We study the problem of Diophantine approximation on lines in R^2 with prime numerator and denominator.Comment: 14 page