"Möbius function" meaning in English

{
  "etymology_text": "Named after August Ferdinand Möbius (1790–1868), a German mathematician and theoretical astronomer who introduced it in 1832.",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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      "glosses": [
        "A function from the natural numbers to the set {−1, 0, 1} which maps perfect squares to 0, prime numbers to −1, and is multiplicative."
      ],
      "id": "en-Möbius_function-en-noun-bmf8F9MF",
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          "combinatorics",
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        [
          "natural number",
          "natural number"
        ],
        [
          "square",
          "square"
        ],
        [
          "prime number",
          "prime number"
        ],
        [
          "multiplicative",
          "multiplicative"
        ]
      ],
      "raw_glosses": [
        "(combinatorics) A function from the natural numbers to the set {−1, 0, 1} which maps perfect squares to 0, prime numbers to −1, and is multiplicative."
      ],
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        "uncountable"
      ],
      "topics": [
        "combinatorics",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "August Ferdinand Möbius",
        "Möbius function"
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  ],
  "word": "Möbius function"
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{
  "etymology_text": "Named after August Ferdinand Möbius (1790–1868), a German mathematician and theoretical astronomer who introduced it in 1832.",
  "head_templates": [
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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      "glosses": [
        "A function from the natural numbers to the set {−1, 0, 1} which maps perfect squares to 0, prime numbers to −1, and is multiplicative."
      ],
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        [
          "combinatorics",
          "combinatorics"
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          "natural number",
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          "square",
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        "(combinatorics) A function from the natural numbers to the set {−1, 0, 1} which maps perfect squares to 0, prime numbers to −1, and is multiplicative."
      ],
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        "uncountable"
      ],
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        "mathematics",
        "sciences"
      ],
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}