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:
“I think those Southern writers [William Faulkner, Carson McCullers] have analyzed very carefully the buildup in the South of a special consciousness brought about by the self- condemnation resulting from slavery, the humiliation following the War Between the States and the hope, sometimes expressed timidly, for redemption.”
—Jimmy Carter (James Earl Carter, Jr.)
“To be faced with what so-and-so’s mother lets him do, or what the teacher said in class today or what all the kids are wearing is to be required to reexamine some part of our belief structure. Each time we rethink our values we reaffirm them or begin to change them. Seen in this way, parenthood affords us an exceptional opportunity for growth.”
—Ruth Davidson Bell (20th century)