In this article we will study the spectral properties of a deterministic signal exponentially damped in the past and in the future (the damping in the future is controlled by a time constant). The ...

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. A study led by researchers at ...

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 ...

American Journal of Mathematics, Vol. 124, No. 1 (Feb., 2002), pp. 1-48 (48 pages) We consider zeta functions defined as Euler products of $W(p,p^{-s})$ over all ...

A method is given for calculating the value of Dirichlet $L$-functions near the real axis in the critical strip. As an application, some zeros for zeta functions of ...

Montgomery happened to find strikingly similar behavior in the prime numbers— specifically, the correlations between the ...