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.

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