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

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

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

@article{JTNB_2002__14_1_19_0,
     author = {Roland Bacher},
     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},
     zbl = {1023.11011},
     mrnumber = {1925988},
     language = {en},
     url = {https://jtnb.centre-mersenne.org/item/JTNB_2002__14_1_19_0/}
}
TY  - JOUR
AU  - Roland Bacher
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  - https://jtnb.centre-mersenne.org/item/JTNB_2002__14_1_19_0/
LA  - en
ID  - JTNB_2002__14_1_19_0
ER  - 
%0 Journal Article
%A Roland Bacher
%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 https://jtnb.centre-mersenne.org/item/JTNB_2002__14_1_19_0/
%G en
%F JTNB_2002__14_1_19_0
Roland Bacher. Determinants of matrices related to the Pascal triangle. Journal de théorie des nombres de Bordeaux, Tome 14 (2002) no. 1, pp. 19-41. https://jtnb.centre-mersenne.org/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. | MR | Zbl

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

[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. | MR | Zbl

[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. | MR | Zbl