Zeta distribution
In probability theory and statistics, the zeta distribution is a discrete probability distribution. If X is a zeta-distributed random variable with parameter s, then the probability that X takes the positive integer value k is given by the probability mass function f s ( k ) = k − s ζ ( s ) {\displaystyle f_{s}(k)={\frac {k^{-s}}{\zeta (s)}}} where ζ(s) is the Riemann zeta function (which is undefined for s = 1).