Definition:Analytic Number Theory

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Analytic number theory is a branch of number theory which uses tools from analysis to solve problems about the integers.

Also see

  • Results about analytic number theory can be found here.

Historical Note

The field of analytic number theory was effectively created by Leonhard Paul Euler in $1737$, on the occasion of his discovery of two results:

Sum of Reciprocals of Powers as Euler Product


Sum of Reciprocals of Primes is Divergent.