# Definition:Analytic Number Theory

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## Definition

**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:

and:

## Sources

- 1992: George F. Simmons:
*Calculus Gems*... (previous) ... (next): Chapter $\text {B}.16$: The Sequence of Primes