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:

    Those of us who are in this world to educate—to care for—young children have a special calling: a calling that has very little to do with the collection of expensive possessions but has a lot to do with the worth inside of heads and hearts. In fact, that’s our domain: the heads and hearts of the next generation, the thoughts and feelings of the future.
    Fred M. Rogers, U.S. writer and host of Mr. Rogers Neighborhood. “That Which is Essential Is Invisible to the Eye,” Young Children (July 1994)

    The vulgar crowd values friends according to their usefulness.
    Ovid (Publius Ovidius Naso)