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An Alternative Form of the Functional Equation for Riemann’s Zeta Function, II

Andrea Ossicini — 2014

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

This paper treats about one of the most remarkable achievements by Riemann, that is the symmetric form of the functional equation for ζ ( s ) . We present here, after showing the first proof of Riemann, a new, simple and direct proof of the symmetric form of the functional equation for both the Eulerian Zeta function and the alternating Zeta function, connected with odd numbers. A proof that Euler himself could have arranged with a little step at the end of his paper “Remarques sur un beau rapport entre...

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