We determine the p-exponent in many of the coefficients of `(x), where `(x) is the power series for log(1+x)/x and t is any integer. In our proof, we introduce a variant of multinomial coefficients. We also characterize the power series x/ log(1 + x) by certain zero coefficients in its powers. 1. Main divisibility theorem The divisibility by primes of the coefficients in the integer powers `(x)...

Nanoflares have been proposed as the main source of heating of the solar corona. However, detecting them directly has so far proved elusive, and extrapolating to them from the properties of larger brightenings gives unreliable estimates of the power-law exponent α characterising their distribution. Here we take the approach of statistically modelling light curves representative of the quiet Sun...

Copyright: 2014 The PLOS ONE Staff. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Figure 1. Time series of the literary misery index LMt for all books calculated through WNA (red circles), versus the U.S. ec...

The properties and applications of the normal log-normal (NLN) mixture are considered. The moment of the NLN mixture is shown to be finite for any positive order. The expectations of exponential functions of a NLN mixture variable are also investigated. The kurtosis and skewness of the NLN mixture are explicitly shown to be determined by the variance of the log-normal and the correlation betwee...

(Received) This study explores an information-theoretic/log-linear approach to multivariate time series analysis. The method is applied to daily rainfall data (4 sites, 9 years), originally quantitative but here treated as dichotomous. The analysis ascertains which lagged variables are most predictive of future rainfall and how season can be optimally deened as an auxiliary predicting parameter...

This study explores an information-theoretic/log-linear approach to multivariate time series analysis. The method is applied to daily rainfall data (4 sites, 9 years), originally quantitative but here treated as dichotomous. The analysis ascertains which lagged variables are most predictive of future rainfall and how season can be optimally de ned as an auxiliary predicting parameter. Call the ...