Zeta Constant - The Riemann Zeta Function at 0 and 1

The Riemann Zeta Function At 0 and 1

At zero, one has

At 1 there is a pole, so ΞΆ(1) is not defined but the left and right limits are:

and

and because it is a pole of 1st order its principle value exists and is .

Read more about this topic:  Zeta Constant

Famous quotes containing the word function:

    “Nobody seriously questions the principle that it is the function of mass culture to maintain public morale, and certainly nobody in the mass audience objects to having his morale maintained.”
    —Robert Warshow (1917–1955)