Phrase guide

zeta function

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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noun

Meaning 1

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.

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

Broader terms: function

History

Etymology

No etymology was provided for this word.

Across languages

Translations

4 source translations are retained for this English entry.

Finnish: zeeta-funktio — function
German: ζ-Funktion — function
Polish: funkcja dzeta — function
Turkish: zeta-fonksiyonu — function

Word forms

Inflections and variants

zeta functions — plural

Word family

Derived and related words

Derived: none provided

Related: none provided

Semantic map

Other relationships

Hypernyms: function

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

Sources

Where this information comes from

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