Noun
geometry of numbers (uncountable)
(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
R
n
{\displaystyle \textstyle \mathbb {R} ^{n}}
; the study of these lattices provides fundamental information on algebraic numbers.