functional equation of the Riemann zeta function

Let Γ denote the gamma functionDlmfDlmfMathworldPlanetmath, ζ the Riemann zeta functionDlmfDlmfMathworldPlanetmath and s any complex numberPlanetmathPlanetmath. Then


Though the equation appears too intricate to be of any use, the inherent in the formula makes this the simplest method of evaluating ζ(s) at points to the left of the critical stripMathworldPlanetmath.

Title functional equation of the Riemann zeta function
Canonical name FunctionalEquationOfTheRiemannZetaFunction
Date of creation 2013-03-22 13:54:29
Last modified on 2013-03-22 13:54:29
Owner mathcam (2727)
Last modified by mathcam (2727)
Numerical id 6
Author mathcam (2727)
Entry type Definition
Classification msc 11M99
Related topic ClassNumberFormula