von Mangoldt function in English

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{
  "etymology_text": "Named after the German mathematician Hans von Mangoldt.",
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  "lang": "English",
  "lang_code": "en",
  "pos": "name",
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      "glosses": [
        "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."
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      "id": "en-von_Mangoldt_function-en-name-soD9HWEX",
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        [
          "multiplicative",
          "multiplicative"
        ],
        [
          "additive",
          "additive"
        ],
        [
          "Λ",
          "Λ"
        ]
      ],
      "raw_glosses": [
        "(mathematics) 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."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "von Mangoldt function"
      ]
    }
  ],
  "word": "von Mangoldt function"
}

[Show JSON for raw wiktextract data ▼] [Hide JSON for raw wiktextract data ▲]

{
  "etymology_text": "Named after the German mathematician Hans von Mangoldt.",
  "head_templates": [
    {
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  "lang_code": "en",
  "pos": "name",
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        "en:Mathematics"
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      "glosses": [
        "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."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
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          "arithmetic",
          "arithmetic"
        ],
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          "multiplicative",
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        ],
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          "additive",
          "additive"
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          "Λ"
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      "raw_glosses": [
        "(mathematics) 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."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "von Mangoldt function"
      ]
    }
  ],
  "word": "von Mangoldt function"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-01-15 from the enwiktionary dump dated 2025-01-01 using wiktextract (b941637 and 4230888). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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"von Mangoldt function" meaning in English

Proper name