"analytic number theory" meaning in English

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      "expansion": "analytic number theory (uncountable)",
      "name": "en-noun"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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          "kind": "other",
          "name": "English entries with incorrect language header",
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          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
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            "Sciences",
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        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Number theory",
          "orig": "en:Number theory",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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      ],
      "coordinate_terms": [
        {
          "word": "algebraic number theory"
        },
        {
          "word": "computational number theory"
        },
        {
          "word": "geometry of numbers"
        },
        {
          "word": "geometric number theory"
        }
      ],
      "derived": [
        {
          "word": "abstract analytic number theory"
        }
      ],
      "examples": [
        {
          "text": "1987, F. X. Gallagher, Applications of Guinand's Formula, A.C. Adolphson, A. Ghosh, J.B. Conrey, R.I. Yager (editors), Analytic Number Theory and Diophantine Problems: Proceedings of a Conference, Birkhäuser, page 135,\nAccording to Weil [22], analytic number theory, which deals with inequalities and asymptotic formulas, is not number theory but analysis."
        },
        {
          "text": "2002, Chaohua Jia, Kohji Matsumoto (editors), Analytic Number Theory, Kluwer Academic, page ix,\nTalks covered various research fields including analytic number theory, algebraic number theory, modular forms and transcendental number theory."
        },
        {
          "ref": "2002, Song Y. Yan, Number Theory for Computing, 2nd edition, Springer, page 174",
          "text": "Computational number theory, however, studies problems from elementary, algebraic geometric and analytic number theory which require the help of fast computers (particularly vector and parallel systems) and fast algorithms (particularly deterministic polynomial-time algorithms).",
          "type": "quotation"
        }
      ],
      "glosses": [
        "A branch of number theory that uses methods from mathematical analysis to solve problems about the integers."
      ],
      "id": "en-analytic_number_theory-en-noun-nToo~Hk0",
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        [
          "mathematics",
          "mathematics"
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        [
          "number theory",
          "number theory"
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          "mathematical analysis",
          "mathematical analysis"
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          "integer",
          "integer"
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      ],
      "raw_glosses": [
        "(mathematics, number theory) A branch of number theory that uses methods from mathematical analysis to solve problems about the integers."
      ],
      "tags": [
        "uncountable"
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      "topics": [
        "mathematics",
        "number-theory",
        "sciences"
      ],
      "translations": [
        {
          "code": "hy",
          "lang": "Armenian",
          "roman": "analitik tʻveri tesutʻyun",
          "sense": "branch of number theory",
          "word": "անալիտիկ թվերի տեսություն"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "branch of number theory",
          "tags": [
            "feminine"
          ],
          "word": "analytische Zahlentheorie"
        },
        {
          "code": "it",
          "lang": "Italian",
          "sense": "branch of number theory",
          "tags": [
            "feminine"
          ],
          "word": "teoria analitica dei numeri"
        }
      ],
      "wikipedia": [
        "analytic number theory"
      ]
    }
  ],
  "word": "analytic number theory"
}

{
  "coordinate_terms": [
    {
      "word": "algebraic number theory"
    },
    {
      "word": "computational number theory"
    },
    {
      "word": "geometry of numbers"
    },
    {
      "word": "geometric number theory"
    }
  ],
  "derived": [
    {
      "word": "abstract analytic number theory"
    }
  ],
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      "expansion": "analytic number theory (uncountable)",
      "name": "en-noun"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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      "categories": [
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with quotations",
        "English uncountable nouns",
        "en:Mathematics",
        "en:Number theory"
      ],
      "examples": [
        {
          "text": "1987, F. X. Gallagher, Applications of Guinand's Formula, A.C. Adolphson, A. Ghosh, J.B. Conrey, R.I. Yager (editors), Analytic Number Theory and Diophantine Problems: Proceedings of a Conference, Birkhäuser, page 135,\nAccording to Weil [22], analytic number theory, which deals with inequalities and asymptotic formulas, is not number theory but analysis."
        },
        {
          "text": "2002, Chaohua Jia, Kohji Matsumoto (editors), Analytic Number Theory, Kluwer Academic, page ix,\nTalks covered various research fields including analytic number theory, algebraic number theory, modular forms and transcendental number theory."
        },
        {
          "ref": "2002, Song Y. Yan, Number Theory for Computing, 2nd edition, Springer, page 174",
          "text": "Computational number theory, however, studies problems from elementary, algebraic geometric and analytic number theory which require the help of fast computers (particularly vector and parallel systems) and fast algorithms (particularly deterministic polynomial-time algorithms).",
          "type": "quotation"
        }
      ],
      "glosses": [
        "A branch of number theory that uses methods from mathematical analysis to solve problems about the integers."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "number theory",
          "number theory"
        ],
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          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "integer",
          "integer"
        ]
      ],
      "raw_glosses": [
        "(mathematics, number theory) A branch of number theory that uses methods from mathematical analysis to solve problems about the integers."
      ],
      "tags": [
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "number-theory",
        "sciences"
      ],
      "wikipedia": [
        "analytic number theory"
      ]
    }
  ],
  "translations": [
    {
      "code": "hy",
      "lang": "Armenian",
      "roman": "analitik tʻveri tesutʻyun",
      "sense": "branch of number theory",
      "word": "անալիտիկ թվերի տեսություն"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "branch of number theory",
      "tags": [
        "feminine"
      ],
      "word": "analytische Zahlentheorie"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "branch of number theory",
      "tags": [
        "feminine"
      ],
      "word": "teoria analitica dei numeri"
    }
  ],
  "word": "analytic number theory"
}