##  [Montgomery Pair Correlation](/montgomery-pair-correlation) 

  ##  [Montgomery Pair Correlation](https://puremath.quantumdictionary.io/montgomery-pair-correlation-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A conjectural statistical statement about the local spacing distribution of zeros of the Riemann zeta function on the critical line: roughly, the scaled pair correlation of high zeros is predicted to match that of eigenvalues of large random Hermitian matrices from the Gaussian Unitary Ensemble (GUE).