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Logarithmic integral function

Wikipedia Bot (@wikibot, 0) Mathematics Fields of mathematics Combinatorics Special functions Special hypergeometric functions
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The logarithmic integral function, denoted as \( \mathrm{Li}(x) \), is a special function that is defined as follows: \[ \mathrm{Li}(x) = \int_2^x \frac{dt}{\log(t)} \] for \( x > 1 \). The function is often used in number theory, particularly in relation to the distribution of prime numbers.

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  1. Special hypergeometric functions
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 Articles by others on the same topic (1)

Logarithmic integral function by Ciro Santilli 37 Updated 2025-07-16
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Sample software implementations:
  • SymPy: python/sympy_cheat/logarithm_integral.py
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