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The currently available methods of finding the zeros of a vector function are quite effective but they do require a prior knowledge of the approximate locations of the zeros. Such a knowledge is, ...
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.
Richard P. Brent, On the Zeros of the Riemann Zeta Function in the Critical Strip, Mathematics of Computation, Vol. 33, No. 148 (Oct., 1979), pp. 1361-1372 ...