Word.ws English Dictionary

geometry of numbers

geometry of numbers noun: the subbranch of number theory which applies techniques from geometry to the study of algebraic numbers.

Noun

geometry of numbers (uncountable)

  1. 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 #92;textstyle#92;mathbb#123;R#125;ⁿ; the study of these lattices provides fundamental information on algebraic numbers.
    • The geometry of numbers to which this book is devoted deals with arbitrary bodies and arbitrary lattices in the n-dimensional euclidean space. Its aim is to study various quantities describing the behaviour of a body with respect to a lattice.1969, C. G. Lekkerkerker, Geometry of Numbers, Wolters-Noordoff, North-Holland, page 1

Origin of geometry of numbers

The field was initiated by German mathematician Hermann Minkowski (1910, Geometrie der Zahlen).

Questions about geometry of numbers

What does geometry of numbers mean?
Geometry of numbers means the subbranch of number theory which applies techniques from geometry to the study of algebraic numbers.
What part of speech is geometry of numbers?
Geometry of numbers is a noun.

Words near geometry of numbers in the dictionary

  1. geometrothermodynamics
  2. geometry
  3. Geometry Dasher
  4. Geometry Dashers
  5. geometry of fear
  6. geometry of numbers
  7. geometry shader
  8. geometry shaders
  9. geometrylike
  10. geomicrobial
  11. geomicrobiological

Source and license

Adapted from Wiktionary: geometry of numbers (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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