##  [P-Adic Methods](/p-adic-methods) 

  ##  [P-Adic Methods](https://puremath.quantumdictionary.io/p-adic-methods-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

Techniques that use p-adic valuations, p-adic analytic functions and the structure of nonarchimedean local fields to study arithmetic problems through local-to-global arguments, rigid analysis, and congruence control.