Last Updated
：2025/12/05
Möbius function
Noun
uncountable
Japanese Meaning
整数全体に定義される関数で、各自然数に対し、その数が平方数の倍数を持つか否か、または素数であるかどうかに基づいて、-1、0、1のいずれかの値を割り当てる算術関数。
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(combinatorics) A function from the natural numbers to the set {−1, 0, 1} which maps perfect squares to 0, prime numbers to −1, and is multiplicative.
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Möbius function
The Möbius function is indispensable in many combinatorial inversion arguments and appears frequently in multiplicative number theory.
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The Möbius function is indispensable in many combinatorial inversion arguments and appears frequently in multiplicative number theory.
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