A factorization formula in Z[[x]]

Daniel Birmajer, Juan B. Gil, Michael D. Weiner

Research output: Contribution to journalConference article

Abstract

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 pw with w > 1. Our formulas are given in terms of partial Bell polynomials and rely on the inversion formula of Lagrange.

Original languageEnglish (US)
Pages (from-to)935-943
Number of pages9
JournalDiscrete Mathematics and Theoretical Computer Science
StatePublished - Jan 1 2014
Event26th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2014 - Chicago, United States
Duration: Jun 29 2014Jul 3 2014

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All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)
  • Discrete Mathematics and Combinatorics

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