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Concept information

mathematical analysis > functional analysis > geometry of numbers
number > number theory > geometry of numbers
geometry > discrete geometry > geometry of numbers
number > real number > Diophantine approximation > geometry of numbers

Terme préférentiel

geometry of numbers  

Définition(s)

  • Geometry of numbers is the part of number theory which uses geometry for the study of algebraic numbers. Typically, a ring of algebraic integers is viewed as a lattice in and the study of these lattices provides fundamental information on algebraic numbers. The geometry of numbers was initiated by Hermann Minkowski (1910). The geometry of numbers has a close relationship with other fields of mathematics, especially functional analysis and Diophantine approximation, the problem of finding rational numbers that approximate an irrational quantity.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Geometry_of_numbers)

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http://data.loterre.fr/ark:/67375/PSR-FVDGH8VN-Q

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RDF/XML TURTLE JSON-LD Date de création 17/07/2023, dernière modif. 30/08/2023