Conjectures for the integral moments and ratios of L-functions over function fields

We extend to the function field setting the heuristic previously developed, by Conrey, Farmer, Keating, Rubinstein and Snaith, for the integral moments and ratios of $L$-functions defined over number fields. Specifically, we give a heuristic for the moments and ratios of a family of $L$-functions associated with hyperelliptic curves of genus $g$ over a fixed finite field $\mathbb{F}_{q}$ in the limit as $g\rightarrow\infty$. Like in the number field case, there is a striking resemblance to the corresponding formulae for the characteristic polynomials of random matrices. As an application, we calculate the one-level density for the zeros of these $L$-functions.Comment: 40 page

An attentional control task reduces intrusive thoughts about smoking.

INTRODUCTION: Attentional control tasks such as body scanning and following isometric exercise instructions have been shown to reduce smoking cravings, apparently by reducing stress (Ussher, M., Cropley, M., Playle, S., Mohidin, R., & West, R. [2009]. Effect of isometric exercise and body scanning on cigarette cravings and withdrawal symptoms. Addiction, 104, 1251-1257. doi:10.1111/j.1360-0443.2009.02605.x). Related work based upon elaborated intrusion theory (Kavanagh, D. J., Andrade, J., & May, J. [2005]. Imaginary relish and exquisite torture: The elaborated intrusion theory of desire. Psychological Review, 112, 446-467. doi:10.1037/0033-295X.112.2.446) has shown that similar tasks can reduce hungry participants' involuntary food-related thoughts (May, J., Andrade, J., Batey, H., Berry, L.-M., & Kavanagh, D. [2010]. Less food for thought: Impact of attentional instructions on intrusive thoughts about snack foods. Appetite, 55, 279-287. doi:10.1016/j.appet.2010.06.014). This study tests the effect of body scanning instructions upon smoking-related thoughts as well as craving. METHODS: Twenty-seven smokers took part in 2 counterbalanced sessions, on different days, having been asked to abstain from smoking for 2 hr. In each session, they followed audio instructions for three 10-min blocks during which their thoughts were probed 10 times. In the first and third blocks, they were instructed to let their mind wander; during the second block of the control session, they also let their mind wander, but in the experimental session, they followed body scanning instructions. "Smoking thought frequency" was assessed using thought probes; "Craving" was measured using Factor 1 of the Questionnaire on Smoking Urges (Tiffany, S. T., & Drobes, D. J. [1991]. The development and initial validation of a questionnaire on smoking urges. British Journal of Addiction, 86, 1467-1476. doi:10.1111/j.1360-0443.1991.tb01732.x). RESULTS: Participants reported fewer smoking-related thoughts and lower smoking cravings in the body scanning block of the experimental session, whereas they rose in the comparable mind-wandering block of the control session. The reduction in thoughts during the body scanning correlated with the corresponding reduction in craving. CONCLUSIONS: Body scanning reduces cravings and reduces the frequency or shortens the duration of smoking thoughts. Attentional control strategies may form a useful part of smoking cessation practices

A Measure of Core Inflation in the UK

We develop a measure of core inflation in the UK over the period January1987 - December 1998, following the work of Bryan and Cecchetti (1996),Bryan, Cecchetti and Wiggins (1997) and Roger (1997). Disaggregation is into85 price categories. Given the high kurtosis of the price change distribution over this period, a trimmed mean is a more robust estimator of core inflation than other published measures such as the RPIX widely used in the UK, in particular by the Bank of England when targeting inflation. We discuss the relative advantages of our measure of core inflation, with emphasis on the determination of an optimal trimming point and on the analysis of the products whose price changes are excluded from our measure in each time period. The resulting measure appears well behaved, but differs noticeably from a number of published measures.

Teleparallel Spin Connection

A new expression for the spin connection of teleparallel gravity is proposed, given by minus the contorsion tensor plus a zero connection. The corresponding minimal coupling is covariant under local Lorentz transformation, and equivalent to the minimal coupling prescription of general relativity. With this coupling prescription, therefore, teleparallel gravity turns out to be fully equivalent to general relativity, even in the presence of spinor fields.Comment: 2 pages, RevTeX, to appear in Phys. Rev D (Brief Report