Last Updated:2025/11/29
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In analytic number theory, the von Mangoldt function plays a central role in explicit formulas relating prime-counting functions to the zeros of the zeta function.
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In analytic number theory, the von Mangoldt function plays a central role in explicit formulas relating prime-counting functions to the zeros of the zeta function.
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Related words
von Mangoldt function
Proper noun
Japanese Meaning
数学における算術関数の一つであり、通常はΛ(n)と表記される。定義は、もしnがある素数pのべき乗(p^k, ただし整数k≥1)であればΛ(n) = log p、その他の場合はΛ(n) = 0となる。ただし、厳密には積的性や加法的性を持たない。
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