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:

    “Advocating the mere tolerance of difference between women is the grossest reformism. It is a total denial of the creative function of difference in our lives. Difference must be not merely tolerated, but seen as a fund of necessary polarities between which our creativity can spark like a dialectic.”
    —Audre Lorde (1934–1992)