RIEMANN ZETA FUNCTION

A program for computing the Riemann zeta function for complex argument. Nature of problem: The series expansion that gives a good approach to the Fermi-Dirac function Fsigma(alpha) in the range alpha approximately 0 requires the evaluation of the Zeta function zeta(s) for real argument. However, important mathematical questions concerning with the location of the complex zeros of zeta(s), lead us to construct a program directly applicable to complex values of the argument. Solution method: The method of solution is based on the series expansion of Gram and Lindelof, and other known results.

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  1. BaƱuelos, Alicia; Depine, Ricardo Angel: A program for computing the Riemann zeta function for complex argument (1980)