Analytic number theory is the branch of number theory which uses real and complex analysis to investigate various properties
of integers and prime numbers. Examples of topics falling under analytic number theory
include Dirichlet L-series, the Riemann
zeta function 
,
the totient function 
, and the prime number
theorem.
Analytic Number Theory
See also
Elementary Number Theory, Number TheoryThis entry contributed by David Terr
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Cite this as:
Terr, David. "Analytic Number Theory." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/AnalyticNumberTheory.html