"arithmetic combinatorics" meaning in English

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  "lang_code": "en",
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          "ref": "2006, Terence Tao, Van H. Vu, Additive Combinatorics, Cambridge University Press, page 112:",
          "text": "For instance, progressions and lattices play a similar role in arithmetic combinatorics that balls and subspaces play in the theory of normed vector spaces.",
          "type": "quote"
        },
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          "ref": "2016, Mei-Chu Chang, “Character sums and arithmetic combinatorics”, in Andrew Beveridge, Jerrold R. Griggs, Leslie Hogben, Gregg Musiker, Prasad Tetali, editors, Recent Trends in Combinatorics, Springer,, page 405:",
          "text": "Some of the techniques involved^([with character sum problems]) belong to arithmetic combinatorics.",
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        },
        {
          "ref": "2019, Cain Mckay, Probability and Statistics, ED-Tech Press, page 23:",
          "text": "Arithmetic combinatorics arose out of the interplay between number theory, combinatorics, ergodic theory and harmonic analysis.[…]One important technique in arithmetic combinatorics is the ergodic theory of dynamical systems.",
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        "A field of mathematics in the intersection of number theory, combinatorics, ergodic theory and harmonic analysis."
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          "combinatorics",
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          "ergodic theory",
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        "(mathematics) A field of mathematics in the intersection of number theory, combinatorics, ergodic theory and harmonic analysis."
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          "code": "hy",
          "lang": "Armenian",
          "roman": "tʻvabanakan kombinatorika",
          "sense": "field of mathematics",
          "word": "թվաբանական կոմբինատորիկա"
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          "text": "Some of the techniques involved^([with character sum problems]) belong to arithmetic combinatorics.",
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          "ergodic theory",
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        "(mathematics) A field of mathematics in the intersection of number theory, combinatorics, ergodic theory and harmonic analysis."
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      "code": "hy",
      "lang": "Armenian",
      "roman": "tʻvabanakan kombinatorika",
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  "word": "arithmetic combinatorics"
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