Geodesic
Counting Upper Interactions in Dyck Paths
Séminaire lotharingien de combinatoire, Tome 54 (2006-2007)
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Upper and lower interactions are parameters of Dyck paths which are motivated by corresponding parameters in a model of partially directed polymers. We investigate the problem of obtaining the generating function for Dyck paths with respect to upper interactions in terms of basic hypergeometric q-series in which an algebraic term occurs. 

@article{SLC_2006-2007_54_a5,
     author = {Yvan Le Borgne},
     title = {Counting {Upper} {Interactions} in {Dyck} {Paths}},
     journal = {S\'eminaire lotharingien de combinatoire},
     year = {2006-2007},
     volume = {54},
     url = {http://geodesic.mathdoc.fr/item/SLC_2006-2007_54_a5/}
}
TY  - JOUR
AU  - Yvan Le Borgne
TI  - Counting Upper Interactions in Dyck Paths
JO  - Séminaire lotharingien de combinatoire
PY  - 2006-2007
VL  - 54
UR  - http://geodesic.mathdoc.fr/item/SLC_2006-2007_54_a5/
ID  - SLC_2006-2007_54_a5
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%A Yvan Le Borgne
%T Counting Upper Interactions in Dyck Paths
%J Séminaire lotharingien de combinatoire
%D 2006-2007
%V 54
%U http://geodesic.mathdoc.fr/item/SLC_2006-2007_54_a5/
%F SLC_2006-2007_54_a5
Yvan Le Borgne. Counting Upper Interactions in Dyck Paths. Séminaire lotharingien de combinatoire, Tome 54 (2006-2007). http://geodesic.mathdoc.fr/item/SLC_2006-2007_54_a5/