"zeta function" meaning in English

See zeta function in All languages combined, or Wiktionary

Noun

Forms: zeta functions [plural]
Head templates: {{en-noun}} zeta function (plural zeta functions)
  1. (mathematics) function of the complex variable s that analytically continues the sum of the infinite series ∑ₙ₌₁ ᪲1/(nˢ) that converges when the real part of s is greater than 1. Categories (topical): Functions, Mathematics Translations (function): zeeta-funktio (Finnish), ζ-Funktion [feminine] (German), zeta-fonksiyonu (Turkish)
    Sense id: en-zeta_function-en-noun-AqA2N6Jg Categories (other): English entries with incorrect language header, English entries with topic categories using raw markup, English terms with non-redundant non-automated sortkeys Topics: mathematics, sciences Hyponyms: Airy zeta-function, Arakawa–Kaneko zeta-function, arithmetic zeta-function, Artin–Mazur zeta-function, Barnes zeta-function, Beurling zeta-function, Dedekind zeta-function, double zeta-function, Epstein zeta-function, Euler-Riemann zeta-function, Goss zeta-function, Hasse–Weil zeta-function, height zeta-function, Hurwitz zeta-function, Igusa zeta-function, Ihara zeta-function, Lefschetz zeta-function, Lerch zeta-function, L-function, local zeta-function, Matsumoto zeta-function, Minakshisundaram–Pleijel zeta-function, Mordell–Tornheim zeta-function, Motivic zeta-function, multiple zeta-function, p-adic zeta-function, prime zeta-function, Riemann zeta-function, Ruelle zeta-function, Selberg zeta-function, Shimizu L-function, Shintani zeta-function, subgroup zeta-function, Witten zeta-function

Inflected forms

Download JSON data for zeta function meaning in English (3.3kB)

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        "function of the complex variable s that analytically continues the sum of the infinite series ∑ₙ₌₁ ᪲1/(nˢ) that converges when the real part of s is greater than 1."
      ],
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        {
          "word": "Airy zeta-function"
        },
        {
          "word": "Arakawa–Kaneko zeta-function"
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        {
          "word": "arithmetic zeta-function"
        },
        {
          "word": "Artin–Mazur zeta-function"
        },
        {
          "word": "Barnes zeta-function"
        },
        {
          "word": "Beurling zeta-function"
        },
        {
          "word": "Dedekind zeta-function"
        },
        {
          "word": "double zeta-function"
        },
        {
          "word": "Epstein zeta-function"
        },
        {
          "word": "Euler-Riemann zeta-function"
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        {
          "word": "Goss zeta-function"
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        {
          "word": "Hasse–Weil zeta-function"
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          "word": "Hurwitz zeta-function"
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          "word": "Ihara zeta-function"
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        {
          "word": "Lefschetz zeta-function"
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          "word": "Lerch zeta-function"
        },
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          "word": "L-function"
        },
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          "word": "local zeta-function"
        },
        {
          "word": "Matsumoto zeta-function"
        },
        {
          "word": "Minakshisundaram–Pleijel zeta-function"
        },
        {
          "word": "Mordell–Tornheim zeta-function"
        },
        {
          "word": "Motivic zeta-function"
        },
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          "word": "multiple zeta-function"
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          "word": "p-adic zeta-function"
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          "word": "prime zeta-function"
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          "word": "Riemann zeta-function"
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          "word": "Ruelle zeta-function"
        },
        {
          "word": "Selberg zeta-function"
        },
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          "word": "Shimizu L-function"
        },
        {
          "word": "Shintani zeta-function"
        },
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          "word": "subgroup zeta-function"
        },
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        }
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        "(mathematics) function of the complex variable s that analytically continues the sum of the infinite series ∑ₙ₌₁ ᪲1/(nˢ) that converges when the real part of s is greater than 1."
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      "translations": [
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "function",
          "word": "zeeta-funktio"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "function",
          "tags": [
            "feminine"
          ],
          "word": "ζ-Funktion"
        },
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          "code": "tr",
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          "sense": "function",
          "word": "zeta-fonksiyonu"
        }
      ]
    }
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  "word": "zeta function"
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      "word": "double zeta-function"
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    },
    {
      "word": "Euler-Riemann zeta-function"
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      "word": "Goss zeta-function"
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      "word": "Hasse–Weil zeta-function"
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      "word": "height zeta-function"
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    {
      "word": "Hurwitz zeta-function"
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    {
      "word": "Igusa zeta-function"
    },
    {
      "word": "Ihara zeta-function"
    },
    {
      "word": "Lefschetz zeta-function"
    },
    {
      "word": "Lerch zeta-function"
    },
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      "word": "L-function"
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      "word": "Matsumoto zeta-function"
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    {
      "word": "Minakshisundaram–Pleijel zeta-function"
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    {
      "word": "prime zeta-function"
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      "word": "Riemann zeta-function"
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    {
      "word": "Ruelle zeta-function"
    },
    {
      "word": "Selberg zeta-function"
    },
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      "word": "Shimizu L-function"
    },
    {
      "word": "Shintani zeta-function"
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      "word": "subgroup zeta-function"
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        "(mathematics) function of the complex variable s that analytically continues the sum of the infinite series ∑ₙ₌₁ ᪲1/(nˢ) that converges when the real part of s is greater than 1."
      ],
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    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "function",
      "word": "zeeta-funktio"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "function",
      "tags": [
        "feminine"
      ],
      "word": "ζ-Funktion"
    },
    {
      "code": "tr",
      "lang": "Turkish",
      "sense": "function",
      "word": "zeta-fonksiyonu"
    }
  ],
  "word": "zeta function"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-05 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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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