##  [Gross–Zagier Formula](/index.php/gross-zagier-formula) 

  ##  [Gross–Zagier Formula](https://puremath.quantumdictionary.io/gross-zagier-formula-0) 

  

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**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A deep identity linking the first derivative at the central point of certain L-functions (notably Rankin-Selberg or L-series of modular forms twisted by Grossencharacters) to the Néron–Tate height of Heegner points on elliptic curves or higher-dimensional analogues, thereby connecting analytic special values to arithmetic heights.