Cite

[1] R. M. Adin and Y. Roichman, The flag major index and group actions on polynomial rings, European J. Combin., 22 (2001) 431-446.Search in Google Scholar

[2] C. A. Athanasiadis, Edgewise subdivisions, local h-polynomials and excedances in the wreath product Zr o Sn, SIAM J. Discrete Math., 28 (2014) 1479-1492.Search in Google Scholar

[3] E. Bagno and R. Biagioli, Colored-descent representations of complex reflection groups G(r; p; n), Israel J. Math., 160 (2007) 317-347.Search in Google Scholar

[4] E. Bagno, A. Butman and D. Garber, Statistics on the multi-colored permutation groups, Electron. J. Combin., 14 (2007) #R24.10.37236/942Search in Google Scholar

[5] E. Bagno and D. Garber, On the excedance number of colored permutation groups, Sém. Lothar. Combin., B53f (2006) 17 pp.Search in Google Scholar

[6] E. Bagno, D. Garber and T. Mansour, Excedance number for involutions in complex reflection groups, Sém. Lothar. Combin., B56d (2007) 11 pp.Search in Google Scholar

[7] M. Bona, Combinatorics of permutations, Chapman and Hall/CRC, Second Edition, 2012.Search in Google Scholar

[8] F. Brenti, q-Eulerian polynomials arising from Coxeter groups, European J. Combin., 15 (1994) 417-441.Search in Google Scholar

[9] W. Y. C. Chen, R. L. Tang and A. F. Y. Zhao, Derangement polynomials and excedances of type B, Electron. J. Combin., 16 (2009) #R15.10.37236/81Search in Google Scholar

[10] E. Clark and R. Ehrenborg, Excedances of affine permutations, Adv. in Appl. Math., 46 (2011) 175-191.Search in Google Scholar

[11] M. Fire, Statistics on wreath products, (2005) at http://arxiv.org/abs/math/0409421.Search in Google Scholar

[12] D. Foata and G. Han, The decrease value theorem with an application to permutation statistics, Adv. in Appl. Math., 46 (2011) 296-311.Search in Google Scholar

[13] D. Foata and G. Han, The Flag-Descent and -Excedance numbers, (2009) preprint. (Electronic version: http://www-irma.u-strasbg.fr/_foata/paper/pub116b.html)Search in Google Scholar

[14] D. Foata and M.-P. Schützenberger, Théorie géométrique des polynômes eulériens, Lecture Notes in Math., Vol. 138, Springer-Verlag, Berlin-New York, 1970.10.1007/BFb0060799Search in Google Scholar

[15] F. Jansson, Variations on the excedance statistic in permutations, (2006) preprint. (Electronic version: http://www.math.chalmers.se/_einar/exjobb/fredrik-jansson.pdf)Search in Google Scholar

[16] P. A. MacMahon, Combinatory Analysis, Vol. 1 and 2, Cambridge Univ. Press, Cambridge, 1915 (reprinted by Chelsea, New York, 1955). [17] P. A. MacMahon, The indices of permutations and the derivation therefrom of functions of a single varaible asscoiated with the permutations of any assemblage of objects, Amer. J. Math., 35 (1913) 281-322.Search in Google Scholar

[18] T. Mansour and Y. Sun, Excedance numbers for permutations in complex reflection groups, Sém. Lothar. Combin., B58b (2008) 7 pp.Search in Google Scholar

[19] R. P. Stanley, Enumerative Combinatorics, Volume I, Cambridge University Press, 2002.Search in Google Scholar

[20] E. Steingrímsson, Permutation statistics of indexed permutations, European J. Combin., 15 (1994) 187-205. Search in Google Scholar