Final steps towards a proof of the Riemann hypothesis
2008
A proof of the Riemann’s hypothesis (RH) about the non-trivial zeros of the Riemann zeta-function is presented. It is based on the construction of an infinite family of operators D (k,l) in one dimension, and their respective eigenfunctions s(t), parameterized by continuous real indexes k and l. Orthogonality of the eigenfunctions is connected to the zeros of the Riemann zeta-function. Due to the fundamental Gauss-Jacobi relation and the Riemann fundamental relation Z(s ′ ) = Z(1 s ′ ), one can show that there is a direct concatenation among the following symmetries, t goes to
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