James Burton Ax is a mathematician who has proved several results in algebra and number theory by using model theory. He shares the seventh Frank Nelson Cole Prize in Number Theory with Simon Kochen, which was awarded for a series of three joint papers[1][2][3] on Diophantine problems.
See also
- Ax-Kochen theorem
- Schanuel's conjecture
- Leopoldt's conjecture
References
- ^ James B. Ax and Simon B. Kochen Diophantine problems over local fields. I American Journal of Mathematics 87 (1965), pp. 605-630
- ^ James B. Ax and Simon B. Kochen Diophantine problems over local fields. II American Journal of Mathematics 87 (1965), pp. 631-648
- ^ James B. Ax and Simon B. Kochen Diophantine problems over local fields. III Annals of Mathematics, Ser. 2 83 (1966), pp. 437-456
