A factorization formula for power series

Given an odd prime p, we give an explicit factorization over the ring of formal power series with integer coefficients for certain reducible polynomials whose constant term is of the form $p^w$ with $w>1$. Our formulas are given in terms of partial Bell polynomials and rely on the inversion formu...

Full description

Bibliographic Details
Main Authors: Daniel Birmajer, Juan B. Gil, Michael D. Weiner
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2014-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/2454/pdf