Wolfram Language & System 10.4 (2016)|Legacy Documentation

This is documentation for an earlier version of the Wolfram Language.View current documentation (Version 11.2)


represents the k^(th) zero of the Riemann zeta function on the critical line.

represents the k^(th) zero with imaginary part greater than .


  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • For positive k, ZetaZero[k] represents the zero of on the critical line that has the k^(th) smallest positive imaginary part.
  • For negative k, ZetaZero[k] represents zeros with progressively larger negative imaginary parts.
  • N[ZetaZero[k]] gives a numerical approximation to the specified zero.
  • ZetaZero can be evaluated to arbitrary numerical precision.
  • ZetaZero automatically threads over lists.
Introduced in 2007