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 ...

Mathematics of Computation, Vol. 77, No. 264 (Oct., 2008), pp. 2437-2445 (9 pages) Let F'/F be a finite normal extension of number fields with Galois group Gal(F'/F). Let χ be an irreducible character ...