Factoring polynomials in the ring of formal power series over Z

Details Factoring polynomials in the ring of formal power series over Z Factoring polynomials in the ring of formal power series over Z

2011-06-07

arxiv.org/abs/1106.1425v1

Mathematics

Commutative Algebra

10 pages, submitted

Scientific paper

We consider polynomials with integer coefficients and discuss their factorization properties in Z[[x]], the ring of formal power series over Z. We treat polynomials of arbitrary degree and give sufficient conditions for their reducibility as power series. Moreover, if a polynomial is reducible over Z[[x]], we provide an explicit factorization algorithm. For polynomials whose constant term is a prime power, our study leads to the discussion of p-adic integers.

Affiliated with

Also associated with

No associations

Rating

Factoring polynomials in the ring of formal power series over Z does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Factoring polynomials in the ring of formal power series over Z, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Factoring polynomials in the ring of formal power series over Z will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-27504