##  [Root Number](/root-number) 

  ##  [Root Number](https://puremath.quantumdictionary.io/root-number-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The sign ±1 (often called the global root number) appearing in the functional equation of an L‑function; it is the product of local root numbers and encodes subtle parity information about arithmetic objects tied to the L‑function.