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arXiv · 2312.11565

The Decidability of the Riemann Hypothesis

Kevin Broughan
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Abstract

Using a result of recursive function theory and results of the complex analysis of Takeuti, which is based on a type theory and the work of Kreisel, and which gives a conservative extension of first order Peano arithmetic (PA), assuming all critical zeros of the Riemann zeta function are simple, we show that RH is decidable in PA.

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Kevin Broughan. 2023-12-17. The Decidability of the Riemann Hypothesis. https://arxiv.org/abs/2312.11565

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