{
  "aliases": null,
  "backlinks": [
    {
      "field": "defines",
      "target": "001CX45SWQ"
    },
    {
      "field": "uses",
      "target": "MC4S4WCGJS"
    },
    {
      "field": "uses",
      "target": "R587SR9GNV"
    },
    {
      "field": "about",
      "target": "R587SR9GNV"
    }
  ],
  "body": "\n## Summary\n\nThe partition function $p(n)$ gives the number of integer partitions of $n$. It is a classical object of additive number theory, with a product generating function and deep congruences. The node [[partition function|001CX45SWQ]] gives the precise definition.\n",
  "commit": "ff8a40749dc16545e3d2fc637f6b0196e81d0bfa",
  "front": {
    "inventory": [
      "T745P271C1"
    ],
    "kind": "concept",
    "msc": [
      "11P81"
    ],
    "name": "Partition function",
    "same_as": {
      "wikidata": "Q15846551",
      "wikipedia": "Partition function (number theory)"
    },
    "sources": [
      {
        "locator": "Definition and examples",
        "url": "https://en.wikipedia.org/wiki/Partition_function_(number_theory)"
      }
    ],
    "specializes": [
      "09115NQZ07"
    ],
    "tag": "0CV69WDRXW"
  },
  "kind": "concept",
  "link": "https://tamnd.github.io/math2/node/0CV69WDRXW/",
  "links": [
    {
      "field": "specializes",
      "target": "09115NQZ07"
    }
  ],
  "markdown": "https://tamnd.github.io/math2/node/0CV69WDRXW.md",
  "msc": [
    "11P81"
  ],
  "name": "Partition function",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/0CV/0CV69WDRXW.md",
  "status": null,
  "tag": "0CV69WDRXW",
  "uri": "m2://0CV69WDRXW",
  "url": "https://tamnd.github.io/math2/wiki/partition-function/",
  "writing": {
    "tag": "0CV69WDRXW",
    "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
      }
    ]
  }
}