Complex Li(x) Logarithmic Integral


For Li(x) with x.i == 0, use the real Li(x.r) function.

See: Real Li(x) Logarithmic Integral

In this case Li(x) approximates the prime counting function Pi(x). See Ri(x) Riemann Prime Counting Function for a better approximation of Pi(x).

For complex x, Li(x) is computed using the Exponential Integral

Li(x) = Ei(Ln(x)).

See: Logarithmic Integral -- From MathWorld
And: Wolfram Function Evaluation -- LogIntegral

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Changes last made on Friday, 27-Jul-07 10:11:07 PDT

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