"Dirichlet character" meaning in All languages combined

{
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      "form": "Dirichlet characters",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "_dis": "99 1",
          "kind": "other",
          "name": "English entries with incorrect language header",
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            "Entries with incorrect language header",
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      ],
      "examples": [
        {
          "text": "1) χ(ab)=χ(a)χ(b);"
        },
        {
          "text": "2)"
        }
      ],
      "glosses": [
        "A complex-valued arithmetic function χ:ℤ→ℂ that satisfies the following conditions for some positive integer m and all integers a and b"
      ],
      "id": "en-Dirichlet_character-en-noun-LmdJKCWE",
      "links": [
        [
          "arithmetic function",
          "arithmetic function"
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      "raw_glosses": [
        "(analytic number theory) A complex-valued arithmetic function χ:ℤ→ℂ that satisfies the following conditions for some positive integer m and all integers a and b:"
      ],
      "topics": [
        "analytic-number-theory",
        "mathematics",
        "number-theory",
        "sciences"
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    },
    {
      "glosses": [
        "3) χ(a+m)=χ(a)."
      ],
      "id": "en-Dirichlet_character-en-noun-vBqr1SPs"
    }
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  "wikipedia": [
    "Dirichlet character"
  ],
  "word": "Dirichlet character"
}

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    "English multiword terms",
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  "forms": [
    {
      "form": "Dirichlet characters",
      "tags": [
        "plural"
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  "lang_code": "en",
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  "senses": [
    {
      "examples": [
        {
          "text": "1) χ(ab)=χ(a)χ(b);"
        },
        {
          "text": "2)"
        }
      ],
      "glosses": [
        "A complex-valued arithmetic function χ:ℤ→ℂ that satisfies the following conditions for some positive integer m and all integers a and b"
      ],
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        [
          "arithmetic function",
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        "(analytic number theory) A complex-valued arithmetic function χ:ℤ→ℂ that satisfies the following conditions for some positive integer m and all integers a and b:"
      ],
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        "analytic-number-theory",
        "mathematics",
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        "3) χ(a+m)=χ(a)."
      ]
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  ],
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    "Dirichlet character"
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}