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abstract analytic number theory

abstract analytic number theory noun: 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.

Noun

abstract analytic number theory (uncountable)

  1. 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.
    • 1975, John Knopfmacher (editor), Abstract Analytic Number Theory, North-Holland https://books.google.com.au/books?id=HIusKnF2kmEC&printsec=frontcover&dq=%22abstract+analytic+number+theory%22&hl=en&newbks=1&newbks_redir=0&sa=X&ved=2ahUKEwjdm__u-5rsAhURIDQIHS14AjsQ6AEwAHoECAYQAg#v=onepage&q=%22abstrac...

Questions about abstract analytic number theory

What does abstract analytic number theory mean?
Abstract analytic number theory means 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.
What part of speech is abstract analytic number theory?
Abstract analytic number theory is a noun.

Words near abstract analytic number theory in the dictionary

  1. abstorting
  2. abstorts
  3. abstr.
  4. abstract
  5. abstract algebra
  6. abstract analytic number theory
  7. abstract art
  8. abstract away from
  9. abstract class
  10. abstract classes
  11. abstract data type

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Adapted from Wiktionary: abstract analytic number theory (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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