##  [Euler Product](/euler-product) 

  ##  [Euler Product](https://puremath.quantumdictionary.io/euler-product-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A factorization of a Dirichlet series (typically one with multiplicative coefficients) as an (often infinite) product indexed by prime numbers; the canonical example is the Riemann zeta function ζ(s)=∏_{p}(1−p^{-s})^{-1} in its region of convergence.