Irreducible polynomials
Speaker |
Prof. Sudesh Kaur Khanduja,
IISER, Mohali
|
---|---|
When |
Mar 09, 2017
from 04:00 PM to 05:00 PM |
Where | LH 006 |
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Abstract: The irreducibility of polynomials has a long history. In 1797, Gauss proved that the only irreducible polynomials with complex coefficients are linear polynomials. However, in view of Eisenstein Irreducibility Criterion proved in 1850, for each number n ≥ 1, there are infinitely many irreducible polynomials of degree n over rationals. We discuss some generalizations of this criterion as well as of the classical Schonemann Irreduciblity Criterion discovered in recent years.