Guy Terjanian

Guy Terjanian is a French^[1] mathematician who has worked on algebraic number theory. He achieved his Ph.D under Claude Chevalley in 1966,^[2] and at that time published a counterexample^[3] to the original form of a conjecture of Emil Artin, which suitably modified had just been proved as the Ax-Kochen theorem. He is ethnically Armenian.

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.^[4]

See also

• Ax–Kochen theorem

References

1. http://reporter.am/index.cfm?objectid=59BE5ED5-E7DA-11E0-8E3F0003FF3452C2
2. Guy Terjanian at the Mathematics Genealogy Project
3. Guy Terjanian, Un contre-exemple à une conjecture d'Artin, C. R. Acad. Sci. Paris Sér. A-B, 262, A612, (1966)
4. 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