6.8.18  The ζ function: Zeta

The ζ function is defined by

for x>1, and by its meromorphic continuation for x<1.

The Zeta command computes the ζ function.

• Zeta takes one argument:
  x, a real number.
• Zeta(x) returns the value of the ζ function ζ(x).

Examples.

• Input:
  Zeta(2)
  Output:

  π2 6

• Input:
  Zeta(4)
  Output:

  π4 90