09/30/2014 - 12:15pm

09/30/2014 - 1:10pm

Speaker:

Jesse Elliott (California State University, Channel Islands)

Abstract:

The polynomial (1+X)(2+X) is reducible as a polynomial over the integers but is irreducible as a formal power series over the integers. On the other hand, the polynomial 6+X is irreducible as a polynomial over the integers but is reducible as a formal power series over the integers. How does 6+X factor as a product of formal power series? More generally, how does one represent a given polynomial over the integers as a product of irreducible formal power series? We will provide a complete answer to this question. The solution involves the ring of p-adic integers for primes p.

Where:

MDSL 126