von Mangoldt function

proper noun

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.

Meanings

proper noun
  1. mathematicsA 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.

Origin

Named after the German mathematician Hans von Mangoldt.

Full word history & related roots →
Cite this entry
APA

von Mangoldt function. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/von%20Mangoldt%20function

MLA

“von Mangoldt function.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/von%20Mangoldt%20function. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “von Mangoldt function,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/von%20Mangoldt%20function.

Source: von Mangoldt function on Wiktionary, CC BY-SA 4.0.