Last Updated：2025/12/06

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(number theory) The subbranch of number theory which applies techniques from geometry to the study of algebraic numbers.

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geometry of numbers

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Source Word

geometry of numbers

Noun

uncountable

(number theory) The subbranch of number theory which applies techniques from geometry to the study of algebraic numbers.

Japanese Meaning

数論の一分野で、幾何学の手法を利用して代数的数の性質を研究する領域

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The geometry of numbers provides powerful tools for solving Diophantine equations involving algebraic integers.

Google Translation / DeepL Translation

代数的数の研究に幾何学的手法を応用する数論の分野は、代数整数を含むディオファントス方程式を解くための強力な手法を提供する。

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(number theory) The subbranch of number theory which applies techniques from geometry to the study of algebraic numbers.

A typical approach in the geometry of numbers is to view a ring of algebraic integers as a lattice in ℝⁿ; the study of these lattices provides fundamental information on algebraic numbers.

Google Translation / DeepL Translation

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geometry of numbers

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geometry of numbers

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