Guy Terjanian

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Guy Terjanian is a French mathematician who has worked on algebraic number theory. He achieved his Ph.D. under Claude Chevalley in 1970,[1] and at that time published a counterexample[2] 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 2 p + y 2 p = z 2 p {\displaystyle x^{2p}+y^{2p}=z^{2p}} {\displaystyle x^{2p}+y^{2p}=z^{2p}}, then 2p must divide x or y.[3]

See also

References

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

Further reading