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, structure, space, models, and change.
History
On ...
who has worked on algebraic
number theory
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic function, integer-valued functions. German mathematician Carl Friedrich Gauss (1777â ...
. 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 foundin ...
in 1966, 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 Austrian mathematician of Armenian descent.
Artin was one of the leading mathematicians of the twentieth century. He is best known for his work on algebraic number theory, contributing lar ...
, 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
, then ''2p'' must divide ''x'' or ''y''.
[G. Terjanian, ''Sur l'equation ','' CR. Acad. Sc. Paris. ,. 285. (1977), 973-975.]
See also
*
Ax–Kochen theorem
The Ax–Kochen theorem, named for James Ax and Simon B. Kochen, states that for each positive integer ''d'' there is a finite set ''Yd'' of prime numbers, such that if ''p'' is any prime not in ''Yd'' then every homogeneous polynomial of degree '' ...
References
Further reading
math.unicaen.frarticle ''Topic: Arithmetic & geometry''
French people of Armenian descent
20th-century French mathematicians
Algebraists
Number theorists
Living people
Year of birth missing (living people)
{{france-mathematician-stub