On the second moment for primes in an arithmetic progression

Assuming the Generalized Riemann Hypothesis, we obtain a lower bound within a constant factor of the conjectured asymptotic result for the second moment for primes in an individual arithmetic progression in short intervals. Previous results were averaged over all progression of a given modulus. The method uses a short divisor sum approximation for the von Mangoldt function, together with some new results for binary correlations of this divisor sum approximation in arithmetic progressions

COMPETITION AND CONTESTABILITY IN CENTRAL AND EASTERN EUROPEAN BANKING MARKETS

This abstract will be reformatted upon submission. You don't need to format for line-breaks here!!!!! This will be a new paragraph but you can't indent - sorry. This study analyzes the evolution of competitive conditions in the Banking industries of fourteen Central and Eastern European (CEE) transition economies using firm-level data. The results of the competition analysis suggest that the banking markets of CEE countries cannot be characterized by the bipolar cases of either perfect competition or monopoly over 1993-2000 except for FYR of Macedonia and Slovakia. That is, banks earned their revenues as if operating under conditions of monopolistic competition in that period. Furthermore, the cross-sectional analysis of competitive structure reveals initially a decreasing trend between 1993 and 1996 and a subsequent increasing trend in competitive conditions after 1996. Large banks in transition countries operate in a relatively more competitive environment compared to small banks, or in other words, competition is lower in local markets compared to national and international markets.Bank Competition; Contestability; Transition Economies

Variable and reversible quantum structures on a single carbon nanotube

The band gap of a semiconducting single wall carbon nanotube decreases and eventually vanishes leading to metalization as a result of increasing radial deformation. This sets in a band offset between the undeformed and deformed regions of a single nanotube. Based on the superlattice calculations, we show that these features can be exploited to realize various quantum well structures on a single nanotube with variable and reversible electronic properties. These quantum structures and nanodevices incorporate mechanics and electronics.Comment: 7 pages, 4 figures, To be appear in PR