Improvements to Turing's method

Abstract. This article improves the estimate of the size of the definite integral of S(t), the argument of the Riemann zeta-function. The primary application of this improvement is Turing’s Method for the Riemann zeta-function. Analogous improvements are given for the arguments of Dirichlet L-functions and of Dedekind zeta-functions.

• Type: Journal
• Year: 2011
• Where: MOC
• Authors: Timothy Trudgian
• Keywords: Computer Networks, Dirichlet, MOC 2011, Riemann Zeta Function, Zeta Functions