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Concept information

mathematical physics > special function > logarithmic integral function
mathematical analysis > functional analysis > special function > logarithmic integral function

Preferred term

logarithmic integral function  

Definition

  • In mathematics, the logarithmic integral function or integral logarithm li(x) is a special function. It is relevant in problems of physics and has number theoretic significance. In particular, according to the prime number theorem, it is a very good approximation to the prime-counting function, which is defined as the number of prime numbers less than or equal to a given value x.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Logarithmic_integral_function)

Broader concept

Entry terms

  • integral logarithm

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URI

http://data.loterre.fr/ark:/67375/PSR-P2S0STXB-F

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