The Continued Expression and Approximation of Zeroes of the Riemann Zeta Function
An alternative integral expression of the Riemann Zeta function is given by using contour integration and the functional equation of the Riemann Zeta function,which can extend the Riemann Zeta function to the specified right half-plane.Using this expression,expressions of ζ(2n)、ζ(1-2n)and ζ'(0)are obtained,and numerical solutions of the non-trivial zeroes of the Riemann Zeta function are calculated.The integral expression complements the study related to the extension expression of Riemann Zeta function.
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