Last Updated：2025/12/06

(number theory) The subfield of number theory concerning the behaviour of sumsets (integer sets added to each other elementwise).

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additive number theory

Source Word

additive number theory

uncountable

(number theory) The subfield of number theory concerning the behaviour of sumsets (integer sets added to each other elementwise).

Japanese Meaning

和集合（整数集合同士の和をとる操作）の振る舞いに注目し、整数の性質や和の構造を研究する数論の一分野

In additive number theory, researchers analyze how the sums of integer sets form structured patterns.

加法的整数論では、研究者たちは整数集合を要素ごとに加えた和がどのように構造化されたパターンを形成するかを解析します。

Sense（1）

(number theory) The subfield of number theory concerning the behaviour of sumsets (integer sets added to each other elementwise).

Abstractly, additive number theory includes the study of abelian groups and commutative semigroups with an addition operation.