Though it converges at 0, it diverges at 1 due to the divergence of the Harmonic Series.
This function can be expanded around 1 into a Laurent series whose constant coefficients are the Stieltjes constants. Zipf's law uses this function to determine the frequency of words over an infinite language. Though it converges at 0, it diverges at 1 due to the divergence of the Harmonic Series. The study of this function is often focused on the Z-Function, which is restricted to the critical line. Hardy showed that this function has infinitely number of zeroes on the critical line, but the distribution of these solutions are still open in the hypothesis that the all non-trivial zeroes of this function have a real part equal to ½. For ten points, identify this function named for a German mathematician.
This function can be expanded around 1 into a Laurent series whose constant coefficients are the Stieltjes constants.
{Riemann zeta} function