A factorization formula in Z[[x]]

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

A factorization formula in Z[[x]]

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

Division of Mathematics & Natural Sciences (Altoona)

Research output: Contribution to journal › Conference article › peer-review

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

Original language	English (US)
Pages (from-to)	935-943
Number of pages	9
Journal	Discrete Mathematics and Theoretical Computer Science
State	Published - 2014
Event	26th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2014 - Chicago, United States Duration: Jun 29 2014 → Jul 3 2014

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
General Computer Science
Discrete Mathematics and Combinatorics

Cite this

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title = "A factorization formula in Z[[x]]",

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.",

author = "Daniel Birmajer and Gil, {Juan B.} and Weiner, {Michael D.}",

note = "Publisher Copyright: {\textcopyright} 2014 Discrete Mathematics and Theoretical Computer Science (DMTCS), Nancy, France; 26th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2014 ; Conference date: 29-06-2014 Through 03-07-2014",

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language = "English (US)",

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journal = "Discrete Mathematics and Theoretical Computer Science",

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publisher = "Maison de l'informatique et des mathematiques discretes",

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TY - JOUR

T1 - A factorization formula in Z[[x]]

AU - Birmajer, Daniel

AU - Gil, Juan B.

AU - Weiner, Michael D.

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

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UR - http://www.scopus.com/inward/citedby.url?scp=85082927770&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:85082927770

SN - 1462-7264

SP - 935

EP - 943

JO - Discrete Mathematics and Theoretical Computer Science

JF - Discrete Mathematics and Theoretical Computer Science

T2 - 26th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2014

Y2 - 29 June 2014 through 3 July 2014

ER -

A factorization formula in Z[[x]]

Abstract

All Science Journal Classification (ASJC) codes

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