Word Pronunciation & Dictionary

ax-kochen theorem

Word Rarity Very rare

Frequency: Zipf frequency 1.29 in modern English

Syllables: ax-kochen the-o-rem
IPA

36

Scrabble Score

15

Letters

4

Syllables

11

Unique Chars

Meaning

name

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.

Etymology

Named after James Ax and Simon B. Kochen.

Inflected Forms

the Ax-Kochen theorem (canonical)

Questions

What does ax-kochen theorem mean?: 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.
Where does ax-kochen theorem come from?: Named after James Ax and Simon B. Kochen.

How to pronounce ax-kochen theorem

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