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ZetaZero

ZetaZero[k]
represents the k

zero of the Riemann zeta function on the critical line.

ZetaZero[k, t]
represents the k

zero with imaginary part greater than

For positive k, ZetaZero[k] represents the zero of on the critical line that has the k smallest positive imaginary part.

For negative k, ZetaZero[k] represents zeros with progressively larger negative imaginary parts.

Find numerically the position of the first zero:

Symbolic property: