Definition:Analytic Number Theory/Historical Note

Historical Note on Analytic Number Theory

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

and:

Sum of Reciprocals of Primes is Divergent.

Sources

• 1992: George F. Simmons: Calculus Gems ... (previous) ... (next): Chapter $\text {B}.19$: The Series $\sum 1/ p_n$ of the Reciprocals of the Primes