Search Results - "Zhong, Michael X.X."

q-Rational reduction and q-analogues of series for π by Wang, Rong-Hua, Zhong, Michael X.X.

“…In this paper, we present a q-analogue of the polynomial reduction which was originally developed for hypergeometric terms. Using the q-Gosper representation,…”
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Polynomial reduction for holonomic sequences and applications in π-series and congruences by Wang, Rong-Hua, Zhong, Michael X.X.

“…Recently, Hou, Mu and Zeilberger introduced a new process of polynomial reduction for hypergeometric terms, which can be used to prove and generate…”
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Congruences related to dual sequences and Catalan numbers by Wang, Rong-Hua, Zhong, Michael X.X.

“…During the study of dual sequences, Z.-W. Sun introduced the polynomials Dn(x,y)=∑k=0nnkxkykandSn(x,y)=∑k=0nnkxk−1−xkyk.Many related congruences were also…”
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On the enumeration of (s,s+1,s+2)-core partitions by Yang, Jane Y.X., Zhong, Michael X.X., Zhou, Robin D.P.

“…Anderson established a connection between core partitions and order ideals of certain posets by mapping a partition to its β-set. In this paper, we give a…”
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Combinatorial proof of the inversion formula on the Kazhdan–Lusztig R-polynomials by Chen, William Y. C., Fan, Neil J. Y., Guo, Alan J. X., Guo, Peter L., Huang, Harry H. Y., Zhong, Michael X. X.

“…In this paper, we present a combinatorial proof of the inversion formula on the Kazhdan–Lusztig R -polynomials. This problem was raised by Brenti. As a…”
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