Determinants of matrices related to the Pascal triangle

Roland Bacher

Journal de théorie des nombres de Bordeaux (2002)

  • Volume: 14, Issue: 1, page 19-41
  • ISSN: 1246-7405

Abstract

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

How to cite

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Bacher, Roland. "Determinants of matrices related to the Pascal triangle." Journal de théorie des nombres de Bordeaux 14.1 (2002): 19-41. <http://eudml.org/doc/248922>.

@article{Bacher2002,
abstract = {The aim of this paper is to study determinants of matrices related to the Pascal triangle.},
author = {Bacher, Roland},
journal = {Journal de théorie des nombres de Bordeaux},
keywords = {generalized Pascal triangle; sequence of subdeterminants; linear recurrences; symmetric matrices; skew-symmetric matrices},
language = {eng},
number = {1},
pages = {19-41},
publisher = {Université Bordeaux I},
title = {Determinants of matrices related to the Pascal triangle},
url = {http://eudml.org/doc/248922},
volume = {14},
year = {2002},
}

TY - JOUR
AU - Bacher, Roland
TI - Determinants of matrices related to the Pascal triangle
JO - Journal de théorie des nombres de Bordeaux
PY - 2002
PB - Université Bordeaux I
VL - 14
IS - 1
SP - 19
EP - 41
AB - The aim of this paper is to study determinants of matrices related to the Pascal triangle.
LA - eng
KW - generalized Pascal triangle; sequence of subdeterminants; linear recurrences; symmetric matrices; skew-symmetric matrices
UR - http://eudml.org/doc/248922
ER -

References

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  1. [GHJ] F.M. Goodman, P. De La Harpe, V.F.R. Jones, Coxeter graphs and towers of algebras, Springer-Verlag, New York, 1989. Zbl0698.46050MR999799
  2. [GV] I. Gessel, G. Viennot, Binomial Determinants, Paths, and Hook Length Formulae. Adv. Math.58 (1985), 300-321. Zbl0579.05004MR815360
  3. [IS] Integer-sequences, http://www.research.att.com/njas/sequences/index.html 
  4. [K1] C. Krattenthaler, Advanced Determinant Calculus. Séminaire Lotharingien Combin. 42 (" The Andrews Festschrift") (1999), Article B42q, 67 pp. Zbl0923.05007MR1701596
  5. [K2] C. Krattenthaler, personal communication, september 2001. 
  6. [K3] C. Krattenthaler, Evaluations of some determinants of matrices related to the Pascal triangle. Preprint math.CO/0111328 (2001). MR1917069
  7. [MW] M.L. Mehta, R. Wang, Calculation of a certain determinant. Commun. Math. Phys.214 (2000), 227-232. Zbl0978.15007MR1794272

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