201103.0060v1 Large deviations of the limiting distribution in the Shanks-Renyi prime number race

Let q ≤ 3, 2 ≤ r ≤ \phi(q) and a1,...,ar be distinct residue classes modulo q that are relatively prime to q. Assuming the Generalized Riemann Hypothesis and the Grand Simplicity Hypothesis, M. Rubinstein and P. Sarnak showed that the vector-valued function E_{q;a1,...,ar}(x)=(E(x;q,a1),..., E(..