{
  "aliases": null,
  "backlinks": [
    {
      "field": "specializes",
      "target": "06TK51263Q"
    },
    {
      "field": "specializes",
      "target": "0VV3ZMRF88"
    },
    {
      "field": "defines",
      "target": "0YEW47VJ0J"
    },
    {
      "field": "uses",
      "target": "3NZBZXYWAJ"
    },
    {
      "field": "uses",
      "target": "CG17WSS64W"
    },
    {
      "field": "about",
      "target": "CG17WSS64W"
    }
  ],
  "body": "\n## Summary\n\nThe divisor function $\\sigma_k$ sends a positive integer $n$ to the sum of the $k$-th powers of its positive divisors.\nThe [[definition of the divisor function|0YEW47VJ0J]] gives the precise form.\n",
  "commit": "ff8a40749dc16545e3d2fc637f6b0196e81d0bfa",
  "front": {
    "inventory": [
      "2MA9DG1DHF"
    ],
    "kind": "concept",
    "msc": [
      "11A25"
    ],
    "name": "Divisor function",
    "same_as": {
      "wikidata": "Q915474",
      "wikipedia": "Divisor function"
    },
    "sources": [
      {
        "locator": "lead section",
        "url": "https://en.wikipedia.org/wiki/Divisor_function"
      }
    ],
    "specializes": [
      "0NTWN57GM3"
    ],
    "tag": "04J4Z73J5B"
  },
  "kind": "concept",
  "link": "https://tamnd.github.io/math2/node/04J4Z73J5B/",
  "links": [
    {
      "field": "specializes",
      "target": "0NTWN57GM3"
    }
  ],
  "markdown": "https://tamnd.github.io/math2/node/04J4Z73J5B.md",
  "msc": [
    "11A25"
  ],
  "name": "Divisor function",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/04J/04J4Z73J5B.md",
  "status": null,
  "tag": "04J4Z73J5B",
  "uri": "m2://04J4Z73J5B",
  "url": "https://tamnd.github.io/math2/wiki/divisor-function/",
  "writing": {
    "tag": "04J4Z73J5B",
    "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
      }
    ]
  }
}
