Congruences with q- generalized Catalan numbers and q-harmonic numbers
Author:
Publisher
Hacettepe University
Subject
Geometry and Topology,Statistics and Probability,Algebra and Number Theory,Analysis
Reference19 articles.
1. [1] N. H. Abel, Untersuchungen über die Reihe 1+(m/1)x+((m(m-1))/(1.2))x²+((m(m-1)(m-2))/(1.2.3))x³+..., J. Reine Angew. Math., 1 (1826) 311--339.
2. [2] G. E. Andrews, q-analogs of the binomial coefficient congruences of Babbage, Wolstenholme and Glaisher, Discrete Mathematics, 204 (1999) 15-25.
3. [3] G. E. Andrews, On the difference of successive Gaussian polynomials, Journal of Statistical Planning and Inference, 34(1) (1993), 19-22. [4] E. Deutsch and L. W. Shapiro, A survey of the Fine numbers, Discrete Math., 241(2001) 241-265.
4. [5] J. Fürlinger, J. Hofbauer, q-Catalan numbers, J. Combin. Theory Ser. A, 40 (2) (1985) 248--264.
5. [6] V.J.W. Guo, J. Zeng, Factors of binomial sums from the Catalan triangle, J. Number Theory, 130 (2010) 172-186.
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