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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References
Clozel, L., Harris, M. & Taylor, R. http://www.math.harvard.edu/~rtaylor (2006).
Harris, M., Shepherd-Barron, N. & Taylor, R. http://www.math.harvard.edu/~rtaylor (2006).
Taylor, R. http://www.math.harvard.edu/~rtaylor (2006).
Hasse, H. Nachr. Ges. Wiss. Göttingen, Math.-Phys. Kl. 3, 253–262 (1933).
Weil, A. Proc. Natl Acad. Sci. USA 27, 345–347 (1941).
Deligne, P. Publ. Math. IHES 43 (Presses Univ. France, Paris, 1974).
Tate, J. in Arithmetic Algebraic Geometry 93–110 (Harper & Row, New York, 1963).
Jackson, A. Not. Am. Math. Soc. 50, 569–570 (2003).
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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