Finding meaning in error terms

Barry Mazur

Type: Article

Publication Date: 2008-02-06

Citations: 51

DOI: https://doi.org/10.1090/s0273-0979-08-01207-x

Abstract

Four decades ago, Mikio Sato and John Tate predicted the shape of probability distributions to which certain “error terms” in number theory conform. Their prediction—known as the Sato-Tate Conjecture—has been verified for an important class of cases, thanks to the recent work of Laurent Clozel, Michael Harris, and Richard Taylor [3], and of Michael Harris, Nicholas Shepherd-Barron, and Richard Taylor [16], combined with Richard Taylor’s most recent [50] which establishes this advance in our understanding.

Locations

CiteSeer X (The Pennsylvania State University) - View - PDF
Bulletin of the American Mathematical Society - View - PDF

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