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:
“There is special providence in the fall of a sparrow. If it be now, tis not to come; if it be not to come, it will be
now; if it be not now, yet it will comethe readiness is
all.”
—William Shakespeare (15641616)
“With the breakdown of the traditional institutions which convey values, more of the burdens and responsibility for transmitting values fall upon parental shoulders, and it is getting harder all the time both to embody the virtues we hope to teach our children and to find for ourselves the ideals and values that will give our own lives purpose and direction.”
—Neil Kurshan (20th century)