Intersective polynomials and the primes

Intersective polynomials are polynomials in $\Z[x]$ having roots every modulus. For example, $P_1(n)=n^2$ and $P_2(n)=n^2-1$ are intersective polynomials, but $P_3(n)=n^2+1$ is not. The purpose of this note is to deduce, using results of Green-Tao \cite{gt-chen} and Lucier \cite{lucier}, that for any intersective polynomial $h$, inside any subset of positive relative density of the primes, we can find distinct primes $p_1, p_2$ such that $p_1-p_2=h(n)$ for some integer $n$. Such a conclusion also holds in the Chen primes (where by a Chen prime we mean a prime number $p$ such that $p+2$ is the product of at most 2 primes)

Oil and Gold Prices: Correlation or Causation?

This paper uses the monthly data spanning from Jan-1986 to April-2011 to investigate the relationship between the prices of two strategic commodities: gold and oil. We examine this relationship through the inflation channel and their interaction with the index of the US dollar. We use different oil price proxies in our investigation and find that the impact of oil price on gold price is not asymmetric but non-linear. Our results show that there is a long-run relationship existing between the prices of oil and gold. Our findings imply that the oil price can be used to predict the gold price.oil price, gold price, inflation, US dollar index, cointegration