Bonsoir à tous,

Sur le lien suivant, https://en.wikipedia.org/wiki/Hilber...ert_polynomial , paragraphe : Definitions and main properties, on trouve le passage suivant,


For , the term of index in this sum is a polynomial in of degree with
leading coefficient . This shows that there exists a unique polynomial with rational
coefficients which is equal to for large enough. This polynomial is the '''Hilbert polynomial''', and has the
form : .


Pouvez vous m'expliquer s'il vous plaît, pourquoi on dit ... This shows that there exists a unique polynomial with rational coefficients which is equal to for large enough ? Comment ont-ils fait pour raisonner comme ça ? .

Merci d'avance.