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Riemann zeta function
Sign in to saveAlso known as Euler-Riemann zeta function, zeta function
analytic function
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The Riemann zeta function ζ(z) plotted with domain coloring The pole at z = 1 and two zeros on the critical line The Riemann zeta function or Euler–Riemann zeta function, denoted by the lowercase Greek letter ζ (zeta), is a mathematical function of a complex variable defined as
ζ ( s ) =