# Logarithmic Integral on the Critical Line

Logarithmic Integral on the Critical Line

In his 1859 paper "On the Number of Primes Less Than a Given Magnitude," Bernhard Riemann gave a formula involving his zeta function to determine the number of primes less than a specific number . This Demonstration shows the behavior of the logarithmic integral ) that corresponds to the second or "periodic" terms as referred to by Riemann.

x

Li(

1/2+it

x