 ##  [Analytic Number Theory](/analytic-number-theory) 

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

  
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- Mathematics &amp; Logic -

**Pure Mathematics Dictionary**

 
Definition

The branch of number theory that uses tools from real and complex analysis, harmonic analysis, and spectral theory to study the distributional and asymptotic behavior of arithmetic functions, primes, and related sequences.