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abstract analytic number theory

noun

Definitions

  1. A branch of number theory in which suitable ideas and techniques from analytic number…

    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.

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sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA