Ax–Kochen theorem
id:
ax-kochen-theorem-242-8144328
title:
Ax–Kochen theorem
text:
The Ax–Kochen theorem, named for James Ax and Simon B. Kochen, states that for each positive integer d there is a finite set Yd of prime numbers, such that if p is any prime not in Yd then every homogeneous polynomial of degree d over the p-adic numbers in at least d2 + 1 variables has a nontrivial zero.
brand slug:
wiki
category slug:
encyclopedia
description:
On the existence of zeros of homogeneous polynomials over the p-adic numbers
original url:
https://en.wikipedia.org/wiki/Ax%E2%80%93Kochen_theorem
date created:
date modified:
2024-03-22T10:52:08Z
main entity:
{"identifier":"Q3526976","url":"https://www.wikidata.org/entity/Q3526976"}
image:
fields total:
13
integrity:
14