Last Updated :2025/12/05

logarithmic integral

Noun
Japanese Meaning
数学における特殊関数の一つで、記号 li を用いて表記され、定義は li(x)=∫₀ˣ (dt)/(ln t) という形で表される。
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大きな x までの素数の個数を推定するために、多くの解析数論者は π(x) を積分 ∫_0^x dt / log t によって定義される対数積分 li(x) と比較します。

plural

Quizzes for review

(mathematics) A special function written using the symbol li and defined as operatorname lix=∫₀ˣ(dt)/(ln t).

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logarithmic integral

To estimate the number of primes up to a large x, many analytic number theorists compare π(x) to the logarithmic integral.

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To estimate the number of primes up to a large x, many analytic number theorists compare π(x) to the logarithmic integral.

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