A Possible Proof of Riemann Hypothesis
نویسنده
چکیده
Riemann hypothesis is proven by reducing the vanishing of Riemann Zeta to an orthogonality condition for the eigenfunctions of a nonHermitian operator having the zeros of Riemann Zeta as its eigenvalues. Eigenfunctions are analogous to the so called coherent states and in general not orthogonal to each other. The construction of the operator is inspired by the conviction that Riemann Zeta is associated with a physical system allowing superconformal transformations as its symmetries and superconformal symmetry plays essential role also in the argument leading to the claimed proof of the Riemann hypothesis. The constructions as such are elementary involving only the basic facts about the theory of Hilbert space operators and complex analysis.
منابع مشابه
Generalized Riemann Hypothesis
(Generalized) Riemann Hypothesis (that all non-trivial zeros of the (Dirichlet L-function) zeta function have real part one-half) is arguably the most important unsolved problem in contemporary mathematics due to its deep relation to the fundamental building blocks of the integers, the primes. The proof of the Riemann hypothesis will immediately verify a slew of dependent theorems ([BRW], [SA])...
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