Guy Terjanian is a French

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...

who has worked on

algebraic number theory Algebraic number theory is a branch of number theory that uses the techniques of abstract algebra to study the integers, rational numbers, and their generalizations. Number-theoretic questions are expressed in terms of properties of algebraic ob ...

. He achieved his Ph.D. under

Claude Chevalley Claude Chevalley (; 11 February 1909 – 28 June 1984) was a French mathematician who made important contributions to number theory, algebraic geometry, class field theory, finite group theory and the theory of algebraic groups. He was a found ...

in 1970, and at that time published a counterexample to the original form of a conjecture of

Emil Artin Emil Artin (; March 3, 1898 – December 20, 1962) was an Austrians, Austrian mathematician of Armenians, Armenian descent. Artin was one of the leading mathematicians of the twentieth century. He is best known for his work on algebraic number t ...

, 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^ + y^ = z^

, then ''2p'' must divide ''x'' or ''y''.G. Terjanian, ''Sur l'equation

x^+ y^ = z^

','' CR. Acad. Sc. Paris., 285. (1977), 973-975.

See also

References

Further reading