where s is a complex variable with Re(s) > 1. But if evaluated at 1, it becomes the harmonic series
*It is a well known fact that there are infinitely many primes.
Wednesday, 20 April 2011
zeta(1)
The Riemann zeta function is defined by the infinite series
where s is a complex variable with Re(s) > 1. But if evaluated at 1, it becomes the harmonic series
Despite its divergence, Euler approved the significance of the identity. The fact that it is connected to all prime numbers* is fascinating.
*It is a well known fact that there are infinitely many primes.
where s is a complex variable with Re(s) > 1. But if evaluated at 1, it becomes the harmonic series
*It is a well known fact that there are infinitely many primes.
