Noun
abstract analytic number theory (uncountable)
(mathematics, number theory) A branch of number theory in which suitable ideas and techniques from analytic number theory are generalised and applied to a variety of mathematical fields.
The prime number theorem serves as a prototypical example of an idea generalised via abstract analytic number theory and adapted to other fields; the emphasis is on results pertaining to asymptotic analysis.
See also * Abstract analytic number theory for information about generalizations of the theorem. Source: Internet