R. M. Adinh, F. Brenti, and Y. Roichman, Descent Numbers and Major Indices for the Hyperoctahedral Group, Advances in Applied Mathematics, vol.27, issue.2-3, pp.210-224, 2000.
DOI : 10.1006/aama.2001.0731

[. Barrese, N. Loehr, J. Remmel, and B. E. Sagan, m-Level rook placements, Journal of Combinatorial Theory, Series A, vol.124, pp.130-165, 2014.
DOI : 10.1016/j.jcta.2014.01.006
URL : https://hal.archives-ouvertes.fr/hal-01207536

K. S. Briggs and J. B. , m-Rook numbers and a generalization of a formula of Frobenius to <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mi>C</mml:mi><mml:mi>m</mml:mi></mml:msub><mml:mo>???</mml:mo><mml:msub><mml:mi mathvariant="script">S</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:math>, Journal of Combinatorial Theory, Series A, vol.113, issue.6, pp.1138-1171, 2006.
DOI : 10.1016/j.jcta.2005.10.009

D. Foata and M. P. Schützenberger, On the rook polynomials of Ferrers relations, Combinatorial theory and its applications, II (Proc. Colloq., Balatonfüred, pp.413-436, 1969.

J. R. Goldman, J. T. Joichi, and D. E. White, Rook theory. I. Rook equivalence of Ferrers boards, Proc. Amer, pp.485-492, 1975.
DOI : 10.1090/S0002-9939-1975-0429578-4

S. [. Garsia and . Milne, Method for constructing bijections for classical partition identities, Proc. Nat. Acad. Sci. U.S.A, pp.2026-2028, 1981.
DOI : 10.1073/pnas.78.4.2026
URL : https://www.ncbi.nlm.nih.gov/pmc/articles/PMC319275/pdf

I. Kaplansky and J. Riordan, The problem of the rooks and its applications, Duke Mathematical Journal, vol.13, issue.2, pp.259-268, 1946.
DOI : 10.1215/S0012-7094-46-01324-5

A. Nicholas and J. B. Loehr, Rook-by-rook rook theory: bijective proofs of rook and hit equivalences, Adv. in Appl. Math, vol.42, issue.4, pp.483-503, 2009.