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arXiv:1603.09665math.GM

On the Triviality of Solutions of a Salem-Type Integral Equation and Its Connection with the Riemann Hypothesis

Shokir Davlatov

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Abstract

In this paper we prove the Riemann Hypothesis. More precisely, we study a Salem-type linear Fredholm integral equation of the first kind with symmetric kernel and prove that, in the class of bounded and measurable functions, this equation admits only the trivial solution.

arXiv comments
This paper has been withdrawn by the author due to an error in the proof of the main result. Therefore, the claimed proof of the Riemann Hypothesis should not be considered valid.
Journal reference
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Subjects
math.GMGeneral Mathematics

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