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arXiv · 0908.2909

Abstract intersection theory and operators in Hilbert space

Grzegorz Banaszak·Yoichi Uetake
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Abstract

For an operator of a certain class in Hilbert space, we introduce axioms of an abstract intersection theory, which we prove to be equivalent to the Riemann Hypothesis concerning the spectrum of that operator. In particular if the nontrivial zeros of the Riemann zeta-function arise from an operator of this class, the original Riemann Hypothesis is equivalent to the existence of an abstract intersection theory.

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Grzegorz Banaszak, Yoichi Uetake. 2009-08-20. Abstract intersection theory and operators in Hilbert space. https://arxiv.org/abs/0908.2909

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