Zobrazeno 1 - 10
of 833
pro vyhledávání: '"Zhou Yajun"'
Publikováno v:
SIGMA 20 (2024), 079, 14 pages
Through the application of an evaluation technique based on cyclotomic multiple zeta values recently due to Au, we solve open problems on inverse binomial series that were included in a 2010 analysis textbook by Chen.
Comment: a sequel to arXiv:
Comment: a sequel to arXiv:
Externí odkaz:
http://arxiv.org/abs/2403.16945
We introduce and prove evaluations for families of multiple elliptic integrals by solving special types of ordinary and partial differential equations. As an application, we obtain new expressions of Ramanujan-type series of level 4 and associated si
Externí odkaz:
http://arxiv.org/abs/2403.07298
Autor:
Sun, Zhi-Wei, Zhou, Yajun
Using cyclotomic multiple zeta values of level $8$, we confirm and generalize several conjectural identities on infinite series with summands involving $\binom{2k}k8^k/(\binom{3k}k\binom{6k}{3k})$. For example, we prove that \[\sum_{k=0}^\infty\frac{
Externí odkaz:
http://arxiv.org/abs/2401.14197
Autor:
Sun, Zhi-Wei, Zhou, Yajun
We perform polylogarithmic reductions for several classes of infinite sums motivated by Z.-W. Sun's related works in 2022--2023. For certain choices of parameters, these series can be expressed by cyclotomic multiple zeta values of levels $4$, $5$, $
Externí odkaz:
http://arxiv.org/abs/2401.12083
Publikováno v:
Industrial Management & Data Systems, 2024, Vol. 124, Issue 9, pp. 2689-2710.
Externí odkaz:
http://www.emeraldinsight.com/doi/10.1108/IMDS-12-2023-0959
Autor:
Zhou, Yajun
Publikováno v:
SIGMA 19 (2023), 074, 20 pages
We prove and generalize several recent conjectures of Z.-W. Sun surrounding binomial coefficients and harmonic numbers. We show that Sun's series and their analogs can be represented as cyclotomic multiple zeta values of levels $N\in\{4,8,12,16,24\}$
Externí odkaz:
http://arxiv.org/abs/2306.04638
Autor:
Zhou, Yajun
The hyper-Mahler measures $m_k( 1+x_1+x_2),k\in\mathbb Z_{>1}$ and $m_k( 1+x_1+x_2+x_3),k\in\mathbb Z_{>1}$ are evaluated in closed form via Goncharov-Deligne periods, namely $\mathbb Q$-linear combinations of multiple polylogarithms at cyclotomic po
Externí odkaz:
http://arxiv.org/abs/2210.17243
Autor:
Ma, Qian, Gao, Wei, Xiao, Qiang, Ding, Lingsong, Gao, Tianyi, Zhou, Yajun, Gao, Xinxin, Yan, Tao, Liu, Che, Gu, Ze, Kong, Xianghong, Abbasi, Qammer H., Li, Lianlin, Qiu, Cheng-Wei, Li, Yuanqing, Cui, Tie Jun
Publikováno v:
eLight 2022
Brain-computer interfaces (BCIs), invasive or non-invasive, have projected unparalleled vision and promise for assisting patients in need to better their interaction with the surroundings. Inspired by the BCI-based rehabilitation technologies for ner
Externí odkaz:
http://arxiv.org/abs/2205.00280
Autor:
Zhang, Wei, Yu, Xianfeng, Wei, Min, Zhou, Jie, Zhou, Yajun, Zhou, Xia, Zhao, Kai, Zhu, Xiaoqun
Publikováno v:
In Brain Research Bulletin December 2024 219
Autor:
Zhou, Yajun
Publikováno v:
Commun. Math. Sci. 20(4):1025-1046 (2022)
We carry out quantitative studies on the Green operator $ \hat{\mathscr G}$ associated with the Born equation, an integral equation that models electromagnetic scattering, building the strong stability of the evolution semigroup $\{\exp(-i\tau\hat{\m
Externí odkaz:
http://arxiv.org/abs/2110.06092