Logarithmic Integral Function - Special Values

Special Values

The function li(x) has a single positive zero; it occurs at x ≈ 1.45136 92348 ...; this number is known as the Ramanujan–Soldner constant.

li(2) ≈ 1.045163 780117 492784 844588 889194 613136 522615 578151…

This is where is the incomplete gamma function. It must be understood as the Cauchy principal value of the function.

Read more about this topic:  Logarithmic Integral Function

Famous quotes containing the words special and/or values:

    Jack: A politician, huh?
    Editor: Oh, county treasurer or something like that.
    Jack: What’s so special about him?
    Editor: They say he’s an honest man.
    Robert Rossen (1908–1966)

    The values to which the conservative appeals are inevitably caricatured by the individuals designated to put them into practice.
    Harold Rosenberg (1906–1978)