English Dictionary

Landau-Ramanujan constant

固有名詞

(number theory) The constant of proportionality (approximately 0.7642) in the relationship between the number of positive integers less than x that are the sum of two square numbers, for large x, and the expression x/√.

日本語の意味

整数論における定数で、大きな x に対して、x 以下の正の整数のうち、2つの平方数の和で表せる数の個数と x/√log x の関係に現れる比例定数（約0.7642）を指す。

Analysts often cite the Landau-Ramanujan constant when estimating how many integers up to x can be expressed as the sum of two squares.

研究者たちは、x 以下の正の整数のうち二つの平方数の和として表せるものの個数を推定する際に、ランダウとラマヌジャンが示した比例定数（約0.7642）をよく引用する。

意味（1）

(number theory) The constant of proportionality (approximately 0.7642) in the relationship between the number of positive integers less than x that are the sum of two square numbers, for large x, and the expression x/√.