 ##  [Adelic Methods](/index.php/adelic-methods) 

  ##  [Adelic Methods](https://puremath.quantumdictionary.io/adelic-methods-0) 

  

 [![Pure Mathematics Dictionary](/sites/default/files/styles/large/public/2026-01/Pure%20Mathematics.png.webp?itok=5pZnFQ59)](/index.php/topic-specific-dictionaries/mathematics-logic/pure-mathematics)

- Mathematics &amp; Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

Techniques that assemble local information at every place of a global field via the adele ring and its restricted product topology to study arithmetic objects, using harmonic analysis, duality, and measures that are simultaneous at all places.