Usually means: Analytical function, extends number theory.
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We found 6 dictionaries that define the word zeta function:

General (2 matching dictionaries)
  1. zeta function: Wiktionary
  2. Zeta function (operator), Zeta function: Wikipedia, the Free Encyclopedia

Computing (1 matching dictionary)
  1. Zeta-function, Zeta function (disambiguation), zeta function: Encyclopedia

Science (3 matching dictionaries)
  1. Zeta Function: Eric Weisstein's World of Mathematics
  2. zeta function: PlanetMath Encyclopedia
  3. zeta function, zeta function: Prime

Definitions from Wiktionary (zeta function)

noun:  (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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