Might there be a research team that has formalised the Riemann Hypothesis? So far I have encountered two related questions:


1. [Is there a formulation of the Riemann Hypothesis in first-order arithmetic?](https://mathoverflow.net/questions/31846/is-the-riemann-hypothesis-equivalent-to-a-pi-1-sentence)
2. [Can the Riemann Hypothesis be undecidable?](https://mathoverflow.net/questions/79685/can-the-riemann-hypothesis-be-undecidable)


A Google search reveals that the Prime Number Theorem has been formalised in HOL-light
so it is reasonable to infer that the Riemann Hypothesis has been formalised [3]. If so, might there be a publication that analyses the different trade-offs that were involved?


References:
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1. Marc Larsson et al. Coqtail. 2022. Github repository. <https://github.com/coq-community/coqtail-math>
2. Sylvie Boldo, Catherine Lelay, and Guillaume Melquiond. Coqueliquot: A user-friendly Library for Real Analysis for Coq. 2015.
3. John Harrison. HOL light: an overview. 2009. [https://www.cl.cam.ac.uk/~jrh13/slides/tphols-18aug09/slides.pdf](https://www.cl.cam.ac.uk/%7Ejrh13/slides/tphols-18aug09/slides.pdf)



Formalisation of the Riemann Hypothesis
I just learned of the following formalisation led by Brandon Gomes and Alex Kontorovich from Andrej Bauer(via email):



> 
> Brandon Gomes & Alex Kontorovich. Formalization of the Riemann
> Hypothesis in the Lean Theorem Prover. Github repository. 2020.
> <https://github.com/bhgomes/lean-riemann-hypothesis>
> 
> 
> 


