##  [Automorphic Forms Theory](/index.php/automorphic-forms-theory) 

  ##  [Automorphic Forms Theory](https://puremath.quantumdictionary.io/automorphic-forms-theory-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The study of automorphic forms and their representations on adele groups: functions (or representation‑classes) on reductive groups over local and global fields that satisfy invariance, moderate growth or square‑integrability, and produce arithmetic data via Hecke operators and L‑functions.