What is the name of a conjecture proposed by Emil Artin?
Artin's Conjecture
Goldbach's Conjecture
Pell's Conjecture
Noether's Conjecture
Answer
Artin's Conjecture, formulated by Emil Artin in 1927, suggests a relationship between the number of roots of a polynomial equation over a finite field and the characteristic of the field. It asserts that for a polynomial of degree n with coefficients in a finite field of characteristic p, the number of roots cannot exceed n unless p divides the product of the differences between the roots.
Deciphering the Mathematical Mind: The Emil Artin Challenge
More Questions
Which American institution did Artin join as a faculty member in 1938?
Emil Artin was a pioneer in Theory of what algebraic structure?
The Artin reciprocity law is a part of which larger theory?
What type of algebra involves the study of rings, one of Artin's focus areas?
Which year did Emil Artin receive the Cole Prize in Algebra?
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