##  [Determinant Method](/determinant-method) 

  ##  [Determinant Method](https://puremath.quantumdictionary.io/determinant-method-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

An algebraic-geometric technique that constructs auxiliary polynomials or determinant expressions vanishing at many rational or integral points of a variety, and uses linear algebra and degree/height considerations to derive upper bounds for the number of such points in boxes or of bounded height.