Word Pronunciation & Dictionary

von mangoldt function

Word Rarity Very rare

Frequency: Zipf frequency 0.00 in modern English

Syllables
von -man-goldt -func-tion
IPA
31
Scrabble Score
19
Letters
5
Syllables
13
Unique Chars

Meaning

name

A certain arithmetic function that is neither multiplicative nor additive. It is denoted by Λ(n) and defined as :Λ(n)= log p mbox ifn=pᵏ mbox forsomeprimep mbox andintegerk>1,\0 mbox otherwise.

Etymology

Named after the German mathematician Hans von Mangoldt.

Questions

What does von mangoldt function mean?
A certain arithmetic function that is neither multiplicative nor additive. It is denoted by Λ(n) and defined as :Λ(n)= log p mbox ifn=pᵏ mbox forsomeprimep mbox andintegerk>1,\0 mbox otherwise.
Where does von mangoldt function come from?
Named after the German mathematician Hans von Mangoldt.

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