A numerical study of the distribution of spacings between zeros of the Riemann zeta function is presented. It is based on values for the first $10^5$ zeros and for zeros number $10^{12} + 1$ to ...

Zero: A point in the complex plane at which the value of an analytic function is exactly zero. Hole Probability: The probability that a specified region in the complex plane contains no zeroes of ...

Marcus du Sautoy, Fritz Grunewald, Zeta Functions of Groups: Zeros and Friendly Ghosts, American Journal of Mathematics, Vol. 124, No. 1 (Feb., 2002), pp. 1-48 ...

There is a brief review of mathematical concepts such as logarithm, exponential functions and partial fraction expansion to aid the student for newer analysis techniques. The S plane is introduced as ...

A study has developed a new method that enables quantum computers to measure the thermodynamic properties of systems by calculating the zeros of the partition function.

These functions, often defined through power series with random coefficients, exhibit zero sets with intricate and statistically rich structures.