{
  "aliases": null,
  "backlinks": [
    {
      "field": "defines",
      "target": "087EMZTHWN"
    }
  ],
  "body": "\n## Summary\n\nThe von Mangoldt function $\\Lambda$ takes the value $\\log p$ at each power of a prime $p$, and $0$ at all other positive integers.\nThe [[definition of the von Mangoldt function|087EMZTHWN]] gives the precise form.\n",
  "commit": "f591989ed15704e9d8755a7a5a6426d73de7a3ae",
  "front": {
    "kind": "concept",
    "msc": [
      "11A25"
    ],
    "name": "von Mangoldt function",
    "same_as": {
      "wikidata": "Q282327",
      "wikipedia": "Von Mangoldt function"
    },
    "sources": [
      {
        "locator": "lead section",
        "url": "https://en.wikipedia.org/wiki/Von_Mangoldt_function"
      }
    ],
    "tag": "0NK8JTE1NN"
  },
  "kind": "concept",
  "link": "https://math2.tamnd.com/node/0NK8JTE1NN/",
  "links": null,
  "markdown": "https://math2.tamnd.com/node/0NK8JTE1NN.md",
  "msc": [
    "11A25"
  ],
  "name": "von Mangoldt function",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/0NK/0NK8JTE1NN.md",
  "status": null,
  "tag": "0NK8JTE1NN",
  "uri": "m2://0NK8JTE1NN",
  "url": "https://math2.tamnd.com/wiki/von-mangoldt-function/",
  "writing": {
    "tag": "0NK8JTE1NN",
    "kind": "concept",
    "level": "W1",
    "next": [
      {
        "what": "edge instance_of in",
        "note": "at least two examples",
        "have": 0,
        "want": 2
      },
      {
        "what": "edge not_instance_of in",
        "note": "at least one non-example",
        "have": 0,
        "want": 1
      },
      {
        "what": "edge specializes both",
        "note": "the more general notions and the special cases",
        "have": 0,
        "want": 1
      }
    ]
  }
}