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:
“Mr. Christian, it is about time for many people to begin to come to the White House to discuss different phases of the coal strike. When anybody comes, if his special problem concerns the state, refer him to the governor of Pennsylvania. If his problem has a national phase, refer him to the United States Coal Commission. In no event bring him to me.”
—Calvin Coolidge (1872–1933)
“Nothing is so threatening to conventional values as a man who does not want to work or does not want to work at a challenging job, and most people are disturbed if a man in a well- paying job indicates ambivalence or dislike toward it.”
—Alice S. Rossi (b. 1922)