 ##  [Iwasawa Theory](/iwasawa-theory) 

  ##  [Iwasawa Theory](https://puremath.quantumdictionary.io/iwasawa-theory-0) 

  

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**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The branch of algebraic number theory that studies arithmetic invariants in infinite Galois extensions—particularly Z_p-extensions—via modules over Iwasawa algebras and p-adic L-functions.