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 ...

A mean value theorem for $\arg L(1/2 + i(t + h), \chi) - \arg L(1/2 + it, \chi)$ is established. This yields mean estimates for the number of zeros of L(s, χ) in small boxes. Journal Information This ...

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 ...

VSTACK and HSTACK are dynamic array functions, meaning the result spills from the cell in which you type the formula, and any changes to the data in the source arrays are reflected in the stacked ...