##  [Exceptional Zero](/exceptional-zero) 

  ##  [Exceptional Zero](https://puremath.quantumdictionary.io/exceptional-zero-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A zero of a p-adic L-function at an interpolation point where the corresponding complex L-function does not vanish; such zeros arise from vanishing interpolation or Euler factors and produce anomalies in interpolation formulas, requiring derivative corrections in Iwasawa- and p-adic-analytic formulas.