Dirichlet eta function in English

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{
  "etymology_text": "Named after Johann Peter Gustav Lejeune Dirichlet (1805–1859), German mathematician.",
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  "lang_code": "en",
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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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          "mathematical analysis"
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        [
          "sum",
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        [
          "Dirichlet series",
          "Dirichlet series"
        ],
        [
          "Riemann zeta function",
          "Riemann zeta function"
        ]
      ],
      "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)+⋯."
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Dirichlet eta function"
      ]
    }
  ],
  "word": "Dirichlet eta function"
}

[Show JSON for raw wiktextract data ▼] [Hide JSON for raw wiktextract data ▲]

{
  "etymology_text": "Named after Johann Peter Gustav Lejeune Dirichlet (1805–1859), German mathematician.",
  "head_templates": [
    {
      "args": {},
      "expansion": "Dirichlet eta function",
      "name": "en-proper noun"
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  ],
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  "lang_code": "en",
  "pos": "name",
  "senses": [
    {
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        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
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        "Pages with 1 entry",
        "Pages with entries",
        "en:Functions",
        "en:Mathematical analysis",
        "en:Mathematics"
      ],
      "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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          "mathematics"
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          "mathematical analysis"
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          "sum",
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          "Dirichlet series",
          "Dirichlet series"
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          "Riemann zeta function",
          "Riemann zeta function"
        ]
      ],
      "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)+⋯."
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Dirichlet eta function"
      ]
    }
  ],
  "word": "Dirichlet eta function"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-05-08 from the enwiktionary dump dated 2025-05-01 using wiktextract (887c61b and 3d4dee6). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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"Dirichlet eta function" meaning in English

Proper name