"Dirichlet eta function" meaning in All languages combined

{
  "etymology_text": "Named after Johann Peter Gustav Lejeune Dirichlet (1805–1859), German mathematician.",
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  "lang_code": "en",
  "pos": "name",
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      "glosses": [
        "The alternating sum of the Dirichlet series expansion of the Riemann zeta function:η(s)=∑ₙ₌₁ ᪲(-1)ⁿ⁻¹/nˢ=1/(1ˢ)-1/(2ˢ)+1/(3ˢ)-1/(4ˢ)+⋯."
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          "alternating"
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          "sum",
          "sum"
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          "Dirichlet series",
          "Dirichlet series"
        ],
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          "Riemann zeta function",
          "Riemann zeta function"
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      ],
      "raw_glosses": [
        "(mathematics, mathematical analysis) The alternating sum of the Dirichlet series expansion of the Riemann zeta function:η(s)=∑ₙ₌₁ ᪲(-1)ⁿ⁻¹/nˢ=1/(1ˢ)-1/(2ˢ)+1/(3ˢ)-1/(4ˢ)+⋯."
      ],
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      "wikipedia": [
        "Dirichlet eta function"
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  "word": "Dirichlet eta function"
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{
  "etymology_text": "Named after Johann Peter Gustav Lejeune Dirichlet (1805–1859), German mathematician.",
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      "glosses": [
        "The alternating sum of the Dirichlet series expansion of the Riemann zeta function:η(s)=∑ₙ₌₁ ᪲(-1)ⁿ⁻¹/nˢ=1/(1ˢ)-1/(2ˢ)+1/(3ˢ)-1/(4ˢ)+⋯."
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          "Dirichlet series"
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          "Riemann zeta function",
          "Riemann zeta function"
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      ],
      "raw_glosses": [
        "(mathematics, mathematical analysis) The alternating sum of the Dirichlet series expansion of the Riemann zeta function:η(s)=∑ₙ₌₁ ᪲(-1)ⁿ⁻¹/nˢ=1/(1ˢ)-1/(2ˢ)+1/(3ˢ)-1/(4ˢ)+⋯."
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}