English Dictionary

Skewes' number

名詞

(number theory) Any of several extremely large numbers used as upper bounds for the smallest natural number x for which 𝜋(x)> operatorname li(x), where 𝜋 is the prime-counting function and li is the logarithmic integral function. These bounds have since been improved by others.

日本語の意味

Skewes' number は、数論において、素数計数関数 π(x) が対数積分関数 li(x) より大きくなる最小の自然数 x の上限として用いられる、非常に大きな数のうちのいずれかを指す。これらの上限は、その後、他の研究者によってより厳密な値に改善されている。

Skewes' number was originally conceived as a staggeringly large upper bound for the least natural number x at which π(x) surpasses li(x), although later work dramatically lowered those estimates.

スキューズの上界は、素数計数関数π(x)が対数積分関数li(x)を上回る最小の自然数xに対する極めて大きな上界として当初考案されましたが、その後の研究でその上界は大幅に引き下げられました。

意味（1）

(number theory) Any of several extremely large numbers used as upper bounds for the smallest natural number x for which 𝜋(x)> operatorname li(x), where 𝜋 is the prime-counting function and li is the logarithmic integral function. These bounds have since been improved by others.

Skewes' numbers （ plural ）