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Congruences for the q-secant numbers. (English) Zbl 0455.10006

11B39Fibonacci and Lucas numbers, etc.
11A07Congruences; primitive roots; residue systems
05A15Exact enumeration problems, generating functions
Full Text: DOI
[1] André, D.: Sur LES permutations alternées. J. math. Pures appl. 7, 167-184 (1881) · Zbl 13.0152.02
[2] Andrews, G. E.: The theory of partitions. (1976) · Zbl 0371.10001
[3] Andrews, G. E.; Gessel, I.: Divisibility properties of the q-tangent numbers. Proc. amer. Math. soc. 68, 380-384 (1978) · Zbl 0401.10020
[4] Gessel, I.: Generating functions and enumeration of sequences, ph.d. Thesis. (1977)
[5] Jackson, F. H.: A basic-sine and cosine with symbolical solutions of certain differential equations. Proc. Edinburgh math. Soc. 22, 28-39 (1904) · Zbl 35.0445.01
[6] Nielsen, N.: Traité élémentaire des nombres de Bernoulli. (1923) · Zbl 50.0170.04
[7] D. Rawlings, Generalized Worpitzky identities, with applications to permutation enumeration, European J. Combin., to appear. · Zbl 0471.05006
[8] Schützenberger, M. P.: Oral communication. (1975)
[9] Stanley, R. P.: Binomial posets. Möbius inversion and permutation enumeration, J. Combin. theory ser. A 20, 336-356 (1976) · Zbl 0331.05004