Geodesic
A factorization formula for power series
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014), DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014) (2014) Cet article a éte moissonné depuis la source Episciences

Voir la notice de l'article

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. 
@article{DMTCS_2014_special_265_a79,
     author = {Birmajer, Daniel and Gil, Juan B. and Weiner, Michael D.},
     title = {A factorization formula for power series},
     journal = {Discrete mathematics & theoretical computer science},
     year = {2014},
     volume = {DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014)},
     doi = {10.46298/dmtcs.2454},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2454/}
}
TY  - JOUR
AU  - Birmajer, Daniel
AU  - Gil, Juan B.
AU  - Weiner, Michael D.
TI  - A factorization formula for power series
JO  - Discrete mathematics & theoretical computer science
PY  - 2014
VL  - DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014)
UR  - http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2454/
DO  - 10.46298/dmtcs.2454
LA  - en
ID  - DMTCS_2014_special_265_a79
ER  - 
%0 Journal Article
%A Birmajer, Daniel
%A Gil, Juan B.
%A Weiner, Michael D.
%T A factorization formula for power series
%J Discrete mathematics & theoretical computer science
%D 2014
%V DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014)
%U http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2454/
%R 10.46298/dmtcs.2454
%G en
%F DMTCS_2014_special_265_a79
Birmajer, Daniel; Gil, Juan B.; Weiner, Michael D. A factorization formula for power series. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014), DMTCS Proceedings vol. AT, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014) (2014). doi: 10.46298/dmtcs.2454

Cité par Sources :