Improvements on finding large values of the
Riemann zeta function on the critical line

Abstract. In this paper we present some improvements of finding large values of the
Riemann–Siegel function \(Z(t)\). In order to analyse \(Z(t)\) the authors developed a function \(F(t)\) which shows in some aspect similar characteristics to \(Z(t)\) but easier to compute.

Key words and phrases. Riemann zeta function, prime number theory.