Last Updated :2025/12/04

Størmer's theorem

Proper noun
Japanese Meaning
ストーマーの定理は、数論における定理で、与えられた平滑度において存在する連続する平滑数のペアの個数に有限の上限を与え、ペル方程式を用いてそのようなペアをすべて求める方法を提供するものです。
What is this buttons?

セミナーで、その数学者は、与えられた滑らかさの程度について連続するスムーズ数の組の個数に有限の上界を与え、ペル方程式を用いてそれらをすべて見つける方法を示すストルメールの定理が、可能な連続スムーズ数の組をどのように制限するかを実演した。

Quizzes for review

(number theory) A theorem that gives a finite bound on the number of consecutive pairs of smooth numbers that exist, for a given degree of smoothness, and provides a method for finding all such pairs using Pell equations.

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Størmer's theorem

During the seminar, the mathematician demonstrated how Størmer's theorem bounds the number of consecutive pairs of smooth numbers for a given degree of smoothness and how Pell equations can be used to find all such pairs.

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During the seminar, the mathematician demonstrated how Størmer's theorem bounds the number of consecutive pairs of smooth numbers for a given degree of smoothness and how Pell equations can be used to find all such pairs.

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