The Sato–Tate conjecture holds that the error term occurring in many important problems in number theory conforms to a specific probability distribution. That conjecture has now been proved for a large group of cases.
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Mazur, B. Controlling our errors. Nature 443, 39–40 (2006). https://doi.org/10.1038/443038a
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DOI: https://doi.org/10.1038/443038a
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