馮·曼戈爾特函數(Von Mangoldt function)是一個算術函數,它出現在質數定理的研究中,以提出的19世紀數學家漢斯·馮·曼戈爾特命名。

質數則等於該個質數的自然對數,即。若不是質數冪,

關於這個函數的恆等式:

(參見狄利克雷卷積

參考

  • Tom Apostol, Introduction to analytic number theory, Springer-Verlag, New York, 1976

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