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 ...

Partition function zeros are ‘shortcut’ to thermodynamic calculations on quantum computers Date: August 20, 2021 Source: North Carolina State University Summary: A study has developed a new ...

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