English Dictionary

geometry of numbers

名詞

不可算名詞

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

日本語の意味

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

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

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。

意味（1）

(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.