##  [Additive Number Theory](/index.php/additive-number-theory) 

  ##  [Additive Number Theory](https://puremath.quantumdictionary.io/additive-number-theory-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The branch of number theory that studies additive properties of integers and other abelian groups: sumsets, representation of integers as sums of elements from sets, structural inverse questions, and density or combinatorial constraints on additive configurations.