##  [Central L‑Value Vanishing](/central-l-value-vanishing) 

  ##  [Central L‑Value Vanishing](https://puremath.quantumdictionary.io/central-l-value-vanishing-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The phenomenon that an L‑function evaluates to zero at its central point (typically s = 1/2 or the center of symmetry for the functional equation), often linked to deep arithmetic consequences such as higher Selmer ranks or existence of nontrivial cycles.