##  [Siegel Zero](/siegel-zero) 

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

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

An exceptional real zero of a Dirichlet L-function (or similar L-function attached to a real character) that lies unusually close to 1 on the real axis, causing anomalously large error terms in prime distribution and related arithmetic estimates.