Abstract: We consider linear statistics of the scaled zeros of Dirichlet L‐functions, and show that the first few moments converge to the Gaussian moments. The number of Gaussian moments depends on ...

Abstract: A procedure is developed for obtaining the transfer function of a linear system from the frequency-response data in terms of its poles and zeros. The method is based upon the fact that the ...

The cylindrical Bessel differential equation and the spherical Bessel differential equation in the interval [Formula: see text] with Neumann boundary conditions are considered. The eigenfunctions are ...

The notions of decoupling zeros of positive discrete-time linear systems are introduced. The relationships between the decoupling zeros of standard and positive discrete-time linear systems are ...

Random analytic functions are a fundamental object of study in modern complex analysis and probability theory. These functions, often defined through power series with random coefficients, exhibit ...

The ability to find the zeros or roots of a function is an essential skill in mathematics as it helps in understanding the behavior of functions, solving equations, and graphing. With the help of a ...

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 ...

Department of Material Science and Engineer, Southwest University of Science and Technology, Mianyang, China. Department of Mathematics, Southwest University of Science and Technology, Mianyang, China ...