Last Updated：2025/12/06

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(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.

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abstract analytic number theory

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abstract analytic number theory

Noun

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.

Japanese Meaning

解析的数論の技法や考え方を一般化し、さまざまな数学分野に応用する数論の一分野

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Recent seminars explored how abstract analytic number theory can be adapted to study algebraic structures beyond the integers.

Google Translation / DeepL Translation

最近のセミナーでは、抽象化された解析数論の手法が整数を超える代数的構造の研究に応用できるかが検討されました。

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(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.

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abstract analytic number theory

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