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pro vyhledávání: '"Yang, Zichen"'
Autor:
Yang, Zichen
In this paper, we give a formula for the proper class number of a binary quadratic polynomial assuming that the conductor ideal is sufficiently divisible at dyadic places. This allows us to study the growth of the proper class numbers of totally posi
Externí odkaz:
http://arxiv.org/abs/2409.06244
Autor:
He, Zilong, Yang, Zichen
In this paper, we prove formulas for local densities of quadratic polynomials over non-dyadic fields and over unramified dyadic fields.
Comment: 17 pages, revised Lemma 2.3, Lemma 4.9, and Theorem 4.12
Comment: 17 pages, revised Lemma 2.3, Lemma 4.9, and Theorem 4.12
Externí odkaz:
http://arxiv.org/abs/2407.09076
In this paper, we consider a version of the bias conjecture for second moments in the setting of elliptic curves over finite fields whose trace of Frobenius lies in an arbitrary fixed arithmetic progression. Contrary to the classical setting of reduc
Externí odkaz:
http://arxiv.org/abs/2405.14234
Autor:
Yang, Zichen
In this paper, we study universal sums of triangular numbers and squares. Specifically, we prove that a sum of triangular numbers and squares is universal if and only if it represents $1,2,3,4,5,6,7,8,10,13,14,15,18,19,20,23,27,28,34,41,47$, and $48$
Externí odkaz:
http://arxiv.org/abs/2307.02118
Autor:
Kane, Ben, Yang, Zichen
In this paper, we consider mixed sums of generalized polygonal numbers. Specifically, we obtain a finiteness condition for universality of such sums; this means that it suffices to check representability of a finite subset of the positive integers in
Externí odkaz:
http://arxiv.org/abs/2305.14670
Autor:
Yang, Zichen, Wang, Lichen, Laha, Sourav, Zhao, Dong, Luo, Mingdi, Güth, Achim, Taniguchi, Takashi, Watanabe, Kenji, Lotsch, Bettina V., Smet, Jurgen H., Minola, Matteo, Gretarsson, Hlynur, Keimer, Bernhard
We present Ru $L_3$-edge resonant inelastic x-ray scattering (RIXS) measurements of spin-orbit and d-d excitations in exfoliated nanolayers of the Kitaev spin-liquid candidate RuCl$_3$. Whereas the spin-orbit excitations are independent of thickness,
Externí odkaz:
http://arxiv.org/abs/2303.05135
Weakly-supervised temporal action localization (WTAL) in untrimmed videos has emerged as a practical but challenging task since only video-level labels are available. Existing approaches typically leverage off-the-shelf segment-level features, which
Externí odkaz:
http://arxiv.org/abs/2112.10977
Autor:
Huang, Min, Wang, Yuanping, Wang, Yi, Lin, Guankai, Wen, Xiaoting, Xu, Xiaoyang, Hong, Sumiao, Chen, Yuanyuan, Lin, Haiping, Yang, Zichen, Zhao, Ke, Liu, Jiaqi, Wang, Jiwei, Wang, Hexing, Wang, Na, Chen, Yue, Jiang, Qingwu
Publikováno v:
In Environment International July 2024 189
Autor:
Yang, Zichen
Publikováno v:
In Journal of Number Theory June 2024 259:1-15
Autor:
Chen, Kun, Ma, Chaoqun, Chen, Guoqing, Yang, Taiqun, Gao, Hui, Li, Lei, Yang, Zichen, Cao, Jun, Zheng, Chenkai, Ma, Longyao
Publikováno v:
In Spectrochimica Acta Part A: Molecular and Biomolecular Spectroscopy 15 May 2024 313