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# Irreducible polynomials

Prof. Sudesh Kaur Khanduja, IISER, Mohali
 Speaker Prof. Sudesh Kaur Khanduja, IISER, Mohali Mar 09, 2017 from 04:00 PM to 05:00 PM LH 006 vCal iCal

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 &#8805; 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.

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