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Cálculo de series armónicas de Riemann con exponente par

The called Riemann Zeta function was presented by Euler like the function , that is a convergent series where z is a complex number with positive real part. The calculation of series in the manner is not found in general way in books or other investigation materials. Usually, you can find particular cases, i.e., basic examples. The present work goes guided in order to present a recurrent formula for the calculation of these series. For the understanding of this writing, the reader should have some notions, as they are it: function analytic, sequential expansion of Taylor, series of Laurent, among others.