Sudesh K. Khanduja (Panjab University): A Walk through Irreducible Polynomials over $\mathbb{Q}$

Online Number Theory Seminar

Abstract: In this lecture, we shall discuss some generalizations of the classical irreducibility criteria of Eisenstein, Sch$\ddot{\mbox{o}}$nemann and Dumas using Newton polygons and theory of valuations. A recently proved extension of the well known result of Schur regarding the irreducibility of the polynomial  $1+x+\frac{x^2}{2!}+\cdots+\frac{x^n}{n!}$  over $\mathbb{Q}$ for each $n\geq 1$ will also be discussed. This talk is partly based on joint work with Ankita Jindal, Anuj Bishnoi and Bablesh Jhorar.

For access please contact the organizers (ntrg[at]science.unideb.hu).