The Riemann Zeta Function The function defined by where s is a complex number, is called the Riemann zeta function. Leonhard Euler was able

The Riemann Zeta Function The function ζ defined by

where s is a complex number, is called the Riemann zeta function.

Leonhard Euler was able to calculate the exact sum of the p-series with p = 2:

Use this fact to find the sum of each series.

a.

b.

c.

00 (s) = n=1 |- s U