# Logarithmic Integral on the Critical Line

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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

## Snapshots

## Details

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

## Permanent Citation

"Logarithmic Integral on the Critical Line"

http://demonstrations.wolfram.com/LogarithmicIntegralOnTheCriticalLine/

Wolfram Demonstrations Project

Published: March 7 2011