Logarithmic Integral on the Critical Line

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

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.

Contributed by: Brandon Carter (March 2011)
Open content licensed under CC BY-NC-SA



An option is given to show the non-trivial zeros of the zeta function.

Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.