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pro vyhledávání: '"Zeng, Jiang"'
Autor:
Xu, Chao, Zeng, Jiang
In 1977 Carlitz and Scoville introduced the cycle $(\alpha,t)$-Eulerian polynomials $A^{\mathrm{cyc}}_n(x,y, t\,|\,\alpha)$ by enumerating permutations with respect to the number of excedances, drops, fixed points and cycles. In this paper, we introd
Externí odkaz:
http://arxiv.org/abs/2404.08470
Autor:
Ding, Ming-Jian, Zeng, Jiang
Recently Cheng et al. (Adv. in Appl. Math. 143 (2023) 102451) generalized the inversion number to partial permutations, which are also known as Laguerre digraphs, and asked for a suitable analogue of MacMahon's major index. We provide such a major in
Externí odkaz:
http://arxiv.org/abs/2404.01465
Autor:
Tian, Zhiqiang, Zhu, Ziming, Zeng, Jiang, Liu, Chao-Fei, Yang, Yurong, Pan, Anlian, Chen, Mingxing
Publikováno v:
Phys. Rev. B 109, 085432 (2024)
Materials with ferroelectrically switchable topological properties are of interest for both fundamental physics and practical applications. Using first-principles calculations, we find that stacking ferroelectric $\alpha$-In$_2$Se$_3$ monolayers into
Externí odkaz:
http://arxiv.org/abs/2402.18274
Autor:
Ding, Ming-Jian, Zeng, Jiang
We prove two recent conjectures of Bourn and Erickson (2023) regarding the real-rootedness of a certain family of polynomials $N_n(t)$ as well as the sum of their coefficients. These polynomials arise as the numerators of generating functions in the
Externí odkaz:
http://arxiv.org/abs/2308.16782
Autor:
Ding, Ming-Jian, Zeng, Jiang
The recent interest in $q$-Stirling numbers of the second kind in type B prompted us to give a type B analogue of a classical identity connecting the $q$-Stirling numbers of the second kind and Carlitz's major $q$-Eulerian numbers, which turns out to
Externí odkaz:
http://arxiv.org/abs/2307.00570
Autor:
Ding, Ming-Jian, Zeng, Jiang
We prove a recent conjecture, due to Vigren and Dieckmann, about an explicit triple sum formula for a series from Ramanujan's Notebooks. We shall give two proofs: the first one is by evaluation and based on the identity \begin{equation*} \sum_{k=0}^\
Externí odkaz:
http://arxiv.org/abs/2307.00566
Autor:
Pan, Qiongqiong, Zeng, Jiang
Noticing that some recent variations of descent polynomials are special cases of Carlitz and Scoville's four-variable polynomials, which enumerate permutations by the parity of descent and ascent positions, we prove a $q$-analogue of Carlitz-Scoville
Externí odkaz:
http://arxiv.org/abs/2209.15302
Autor:
Pei, Yanni, Zeng, Jiang
Recently Alexandersson and Getachew proved some multivariate generalizations of a formula for enumerating signed excedances in derangements. In this paper we first relate their work to a recent continued fraction for permutations and confirm some of
Externí odkaz:
http://arxiv.org/abs/2206.11236
Autor:
Cao, Shimin, Chen, Mantang, Zeng, Jiang, Ma, Ning, Zheng, Runjie, Feng, Ya, Yan, Shili, Liu, Jing, Watanabe, Kenji, Taniguchi, Takashi, Xie, X. C., Chen, Jian-Hao
Strong band engineering in two-dimensional (2D) materials can be achieved by introducing moir\'e superlattices, leading to the emergence of various novel quantum phases with promising potential for future applications. Presented works to create moir\
Externí odkaz:
http://arxiv.org/abs/2206.10842
Autor:
He, Xia, Cao, Xuan-Hao, Ding, Zhong-Ke, Luo, Nan-Nan, Zeng, Jiang, Tang, Li-Ming, Chen, Ke-Qiu
Publikováno v:
Journal of Applied Physics; 5/28/2024, Vol. 135 Issue 20, p1-10, 10p