"Ramanujan conjecture" meaning in English

{
  "etymology_text": "Named after Srinivasa Ramanujan.",
  "forms": [
    {
      "form": "the Ramanujan conjecture",
      "tags": [
        "canonical"
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    }
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  "lang_code": "en",
  "pos": "name",
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      "glosses": [
        "A conjecture stating that the Ramanujan tau function given by the Fourier coefficients τ(n) of the cusp form Δ(z) of weight 12 Δ(z)=∑_(n>0)τ(n)qⁿ=q∏_(n>0)(1-qⁿ)²⁴=q-24q²+252q³-1472q⁴+4830q⁵-⋯, where q=e^(2πiz), satisfies |τ(p)|≤2p^(11/2), when p is a prime number."
      ],
      "id": "en-Ramanujan_conjecture-en-name-Tw5y8u4K",
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          "mathematics",
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        [
          "Ramanujan tau function",
          "Ramanujan tau function"
        ],
        [
          "Fourier coefficient",
          "Fourier coefficient"
        ],
        [
          "cusp form",
          "cusp form"
        ],
        [
          "prime number",
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      "raw_glosses": [
        "(mathematics) A conjecture stating that the Ramanujan tau function given by the Fourier coefficients τ(n) of the cusp form Δ(z) of weight 12 Δ(z)=∑_(n>0)τ(n)qⁿ=q∏_(n>0)(1-qⁿ)²⁴=q-24q²+252q³-1472q⁴+4830q⁵-⋯, where q=e^(2πiz), satisfies |τ(p)|≤2p^(11/2), when p is a prime number."
      ],
      "related": [
        {
          "word": "Ramanujan-Petersson conjecture"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Srinivasa Ramanujan"
      ]
    }
  ],
  "word": "Ramanujan conjecture"
}

{
  "etymology_text": "Named after Srinivasa Ramanujan.",
  "forms": [
    {
      "form": "the Ramanujan conjecture",
      "tags": [
        "canonical"
      ]
    }
  ],
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  "lang_code": "en",
  "pos": "name",
  "related": [
    {
      "word": "Ramanujan-Petersson conjecture"
    }
  ],
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      "glosses": [
        "A conjecture stating that the Ramanujan tau function given by the Fourier coefficients τ(n) of the cusp form Δ(z) of weight 12 Δ(z)=∑_(n>0)τ(n)qⁿ=q∏_(n>0)(1-qⁿ)²⁴=q-24q²+252q³-1472q⁴+4830q⁵-⋯, where q=e^(2πiz), satisfies |τ(p)|≤2p^(11/2), when p is a prime number."
      ],
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      "raw_glosses": [
        "(mathematics) A conjecture stating that the Ramanujan tau function given by the Fourier coefficients τ(n) of the cusp form Δ(z) of weight 12 Δ(z)=∑_(n>0)τ(n)qⁿ=q∏_(n>0)(1-qⁿ)²⁴=q-24q²+252q³-1472q⁴+4830q⁵-⋯, where q=e^(2πiz), satisfies |τ(p)|≤2p^(11/2), when p is a prime number."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Srinivasa Ramanujan"
      ]
    }
  ],
  "word": "Ramanujan conjecture"
}