Determinants of matrices related to the Pascal triangle
Journal de théorie des nombres de Bordeaux, Tome 14 (2002) no. 1, pp. 19-41.

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

The aim of this paper is to study determinants of matrices related to the Pascal triangle.

On étudie les déterminants de matrices associées au triangle de Pascal.

@article{JTNB_2002__14_1_19_0,
     author = {Bacher, Roland},
     title = {Determinants of matrices related to the {Pascal} triangle},
     journal = {Journal de th\'eorie des nombres de Bordeaux},
     pages = {19--41},
     publisher = {Universit\'e Bordeaux I},
     volume = {14},
     number = {1},
     year = {2002},
     mrnumber = {1925988},
     zbl = {1023.11011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JTNB_2002__14_1_19_0/}
}
TY  - JOUR
AU  - Bacher, Roland
TI  - Determinants of matrices related to the Pascal triangle
JO  - Journal de théorie des nombres de Bordeaux
PY  - 2002
SP  - 19
EP  - 41
VL  - 14
IS  - 1
PB  - Université Bordeaux I
UR  - http://geodesic.mathdoc.fr/item/JTNB_2002__14_1_19_0/
LA  - en
ID  - JTNB_2002__14_1_19_0
ER  - 
%0 Journal Article
%A Bacher, Roland
%T Determinants of matrices related to the Pascal triangle
%J Journal de théorie des nombres de Bordeaux
%D 2002
%P 19-41
%V 14
%N 1
%I Université Bordeaux I
%U http://geodesic.mathdoc.fr/item/JTNB_2002__14_1_19_0/
%G en
%F JTNB_2002__14_1_19_0
Bacher, Roland. Determinants of matrices related to the Pascal triangle. Journal de théorie des nombres de Bordeaux, Tome 14 (2002) no. 1, pp. 19-41. http://geodesic.mathdoc.fr/item/JTNB_2002__14_1_19_0/

[GHJ] F.M. Goodman, P. De La Harpe, V.F.R. Jones, Coxeter graphs and towers of algebras, Springer-Verlag, New York, 1989. | Zbl | MR

[GV] I. Gessel, G. Viennot, Binomial Determinants, Paths, and Hook Length Formulae. Adv. Math. 58 (1985), 300-321. | Zbl | MR

[IS] Integer-sequences, http://www.research.att.com/ njas/sequences/index.html

[K1] C. Krattenthaler, Advanced Determinant Calculus. Séminaire Lotharingien Combin. 42 (" The Andrews Festschrift") (1999), Article B42q, 67 pp. | Zbl | MR

[K2] C. Krattenthaler, personal communication, september 2001.

[K3] C. Krattenthaler, Evaluations of some determinants of matrices related to the Pascal triangle. Preprint math.CO/0111328 (2001). | MR

[MW] M.L. Mehta, R. Wang, Calculation of a certain determinant. Commun. Math. Phys. 214 (2000), 227-232. | Zbl | MR