%0 Journal Article %T Improvements to Turing's Method II %A Tim Trudgian %J Mathematics %D 2014 %I arXiv %X Turing's method uses explicit bounds on $|\int_{t_{1}}^{t_{2}} S(t)\, dt|$, where $\pi S(t)$ is the argument of the Riemann zeta-function. This article improves the bound on $|\int_{t_{1}}^{t_{2}} S(t)\, dt|$ given in an earlier paper by the author. %U http://arxiv.org/abs/1406.3416v2