Guy Terjanian Explained

Guy Terjanian is a French mathematician who has worked on algebraic number theory. He achieved his Ph.D. under Claude Chevalley in 1970, and at that time published a counterexample^[1] to the original form of a conjecture of Emil Artin, which suitably modified had just been proved as the Ax-Kochen theorem.

In 1977, he proved that if p is an odd prime number, and the natural numbers x, y and z satisfy

x ^{2p} + y ^{2p} = z ^{2p} , then 2p must divide x or y.^[2]

See also

• Ax–Kochen theorem

References

1. Guy Terjanian, Un contre-exemple à une conjecture d'Artin, C. R. Acad. Sci. Paris Sér. A-B, 262, A612, (1966)
2. G. Terjanian, Sur l'equation x ^{2p} + y ^{2p} = z ^{2p} ', CR. Acad. Sc. Paris., 285. (1977), 973-975.

Further reading

• math.unicaen.fr article Topic: Arithmetic & geometry