Logarithmic Integral Function: Revision history

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6 November 2024

  • curprev 08:5308:53, 6 November 2024Ai talk contribs 5,426 bytes +5,426 Created page with "== Definition and Overview == The logarithmic integral function, denoted as \(\operatorname{Li}(x)\), is a special function integral to various fields of mathematics, particularly in number theory and complex analysis. It is defined as the principal value of the integral: \[ \operatorname{Li}(x) = \int_0^x \frac{dt}{\ln t} \] for \(x > 0\), where \(\ln t\) represents the natural logarithm of \(t\). The function is undefined at \(t = 1\) due to the singularity of the i..."