##  [Relative Trace Formula](/relative-trace-formula) 

  ##  [Relative Trace Formula](https://puremath.quantumdictionary.io/relative-trace-formula-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A generalization of the (Arthur–Selberg) trace formula that compares integrals of kernel functions over subgroups or quotients—periods of automorphic forms—leading to identities that relate relative (period) sums to spectral data; used to link automorphic representations to arithmetic quantities such as central L-values and periods.