Ax-Kochen theorem

English

Etymology

Named after James Ax and Simon B. Kochen.

Proper noun

the Ax-Kochen theorem

  1. (mathematics) A theorem stating 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.
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