##  [Sato–Tate Conjecture](/sato-tate-conjecture) 

  ##  [Sato–Tate Conjecture](https://puremath.quantumdictionary.io/sato-tate-conjecture-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A statement about the statistical distribution of normalized Frobenius angles (or normalized local coefficients) attached to a family of arithmetic objects (such as elliptic curves or motives): for many non-CM elliptic curves over Q the angles are equidistributed with respect to a specific measure (the Sato–Tate measure), linking arithmetic to random-matrix-type distributions.