English Explanatory Dictionary

Ax-Kochen theorem

English dictionary entry

Meanings

name
  1. A theorem stating that for each positive integer d there is a finite set Y_d of prime numbers, such that if p is any prime not in Y_d then every homogeneous polynomial of degree d over the p-adic numbers in at least d²+1 variables has a nontrivial zero.

Word forms

Ax-Kochen theorem the Ax-Kochen theorem

Etymology

Named after James Ax and Simon B. Kochen.

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