Search Results - "Yang, Jane Y. X."

Identities on mex-related partitions by Yang, Jane Y. X., Zhou, Li

“…The minimal excludant, or mex-function, on a set of positive integers is the smallest positive integer not in it. Andrews and Newman defined the mex-function…”
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The Eulerian Distribution on the Fixed-Point Free Involutions of the Hyperoctahedral Group Under the Natural Order by Wan, Lingli, Gao, Xiaoqin, Li, Frank Z. K., Yang, Jane Y. X.

“…Two totally order relations are defined on the hyperoctahedral group B n . Regarding B n as a Coxeter group of type B , we always use the natural order. By…”
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Bijections between bar-core and self-conjugate core partitions by Yang, Jane Y. X.

“…In the recent decades, core partitions and bar core partitions have attracted much attention from combinatorial researchers. In this paper, we build a…”
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Combinatorial proofs for identities related to generalizations of the mock theta functions ω(q) and ν(q) by Li, Frank Z. K., Yang, Jane Y. X.

“…The two partition functions p ω ( n ) and p ν ( n ) were introduced by Andrews, Dixit and Yee, which are related to the third-order mock theta functions ω ( q…”
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Combinatorial proofs and generalizations of conjectures related to Euler's partition theorem by Yang, Jane Y. X

“…In a recent work, Andrews gave analytic proofs of two conjectures concerning some variations of two combinatorial identities between partitions of a positive…”
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Combinatorial proofs for identities related to generalizations of the mock theta functions $$\omega (q)$$ω(q) and $$\nu (q)$$ν(q) by Li, Frank Z. K., Yang, Jane Y. X.

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On the Average Size of an (s̄, t̄)-Core Partition by Wang, Joseph L. P., Yang, Jane Y. X.

“…Let s and t be two coprime integers. Bessenrodt and Olsson obtained the number of (s̄, t̄)-cores for odd s and odd t by establishing a bijection between the…”
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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 proofs for identities related to generalizations of the mock theta functions $\omega(q)$ and $\nu(q) by Li, Frank Z. K, Yang, Jane Y. X

“…The Ramanujan Journal, 2019 The two partition functions $p_\omega(n)$ and $p_\nu(n)$ were introduced by Andrews, Dixit and Yee, which are related to the third…”
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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 $\beta$-set. In this paper, we give…”
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