Riemann–Siegel formula

The Riemann–Siegel formula is an important result in analytic number theory that provides an asymptotic expression for the nontrivial zeros of the Riemann zeta function, denoted as \( \zeta(s) \), in the critical strip where \( 0 < \Re(s) < 1 \). Specifically, it relates to the distribution of these zeros, which are significant in the study of prime numbers.