Geodesic
$n$-color overpartitions, lattice paths, and multiple basic hypergeometric series
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AJ, 20th Annual International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2008), DMTCS Proceedings vol. AJ, 20th Annual International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2008) (2008).

Voir la notice de l'article provenant de la source Episciences

We define two classes of multiple basic hypergeometric series $V_{k,t}(a,q)$ and $W_{k,t}(a,q)$ which generalize multiple series studied by Agarwal, Andrews, and Bressoud. We show how to interpret these series as generating functions for special restricted lattice paths and for $n$-color overpartitions with weighted difference conditions. We also point out that some specializations of our series can be written as infinite products, which leads to combinatorial identities linking $n$-color overpartitions with ordinary partitions or overpartitions. 
@article{DMTCS_2008_special_255_a51,
     author = {Mallet, Olivier},
     title = {$n$-color overpartitions, lattice paths, and multiple basic hypergeometric series},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings vol. AJ, 20th Annual International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2008)},
     year = {2008},
     doi = {10.46298/dmtcs.3643},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.3643/}
}
TY  - JOUR
AU  - Mallet, Olivier
TI  - $n$-color overpartitions, lattice paths, and multiple basic hypergeometric series
JO  - Discrete mathematics & theoretical computer science
PY  - 2008
VL  - DMTCS Proceedings vol. AJ, 20th Annual International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2008)
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.3643/
DO  - 10.46298/dmtcs.3643
LA  - en
ID  - DMTCS_2008_special_255_a51
ER  - 
%0 Journal Article
%A Mallet, Olivier
%T $n$-color overpartitions, lattice paths, and multiple basic hypergeometric series
%J Discrete mathematics & theoretical computer science
%D 2008
%V DMTCS Proceedings vol. AJ, 20th Annual International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2008)
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.3643/
%R 10.46298/dmtcs.3643
%G en
%F DMTCS_2008_special_255_a51
Mallet, Olivier. $n$-color overpartitions, lattice paths, and multiple basic hypergeometric series. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AJ, 20th Annual International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2008), DMTCS Proceedings vol. AJ, 20th Annual International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2008) (2008). doi : 10.46298/dmtcs.3643. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.3643/

Cité par Sources :