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pro vyhledávání: '"Wei, Zhining"'
We establish several refined strong multiplicity one results for paramodular cusp forms by using the spinor and standard $L$-functions with the combination of the methods from both of automorphic side and Galois side.
Comment: 28 pages
Comment: 28 pages
Externí odkaz:
http://arxiv.org/abs/2310.17144
Autor:
Wei, Zhining, Zhao, Shifan
In this paper, we consider M\"obius functions associated with two types of $L$-functions: Rankin-Selberg $L$-functions of symmetric powers of distinct holomorphic cusp forms and $L$-functions of Maass cusp forms. We show that these M\"obius functions
Externí odkaz:
http://arxiv.org/abs/2308.11114
In this paper, we study the linear independence between the distribution of the number of prime factors of integers and that of the largest prime factors of integers. Respectively, under a restriction on the largest prime factors of integers, we will
Externí odkaz:
http://arxiv.org/abs/2303.05803
Autor:
Wei, Zhining
In this work, we establish a zero density result for the Rankin-Selberg $L$-functions. As an application, we apply it to distinguish the holomorphic Hecke eigenforms for $\operatorname{SL}_2(\mathbb{Z}).$
Comment: The author was notified that th
Comment: The author was notified that th
Externí odkaz:
http://arxiv.org/abs/2209.03462
Autor:
Wei, Zhining, Yi, Shaoyun
In this work we establish several results on distinguishing Siegel cusp forms of degree two. In particular, a Hecke eigenform of level one can be determined by its second Hecke eigenvalue under a certain assumption. Moreover, we can also distinguish
Externí odkaz:
http://arxiv.org/abs/2207.13234
Autor:
Wei, Zhining
In this paper, we will first investigate the linear relations of a one parameter family of Siegel Poincar\'e series. Then we give the applications to the non-vanishing of Fourier coefficients of Siegel cusp eigenforms and the central values.
Com
Com
Externí odkaz:
http://arxiv.org/abs/2110.06254
Autor:
WEI, Zhining
Publikováno v:
Journal de Théorie des Nombres de Bordeaux, 2022 Jan 01. 34(3), 755-766.
Externí odkaz:
https://www.jstor.org/stable/48712090
Autor:
Wei, Zhining, Shi, Zhepu, Wen, Xiaohui, Li, Xiao, Qiu, Bao, Gu, Qingwen, Sun, Jie, Han, Yingying, Luo, Hao, Guo, Haocheng, Xia, Yonggao, Yin, Chong, Cai, Peijun, Liu, Zhaoping
Publikováno v:
In Materials Today Energy July 2022 27
Autor:
Wen, Xiaohui, Yin, Chong, Qiu, Bao, Wan, Liyang, Zhou, Yuhuan, Wei, Zhining, Shi, Zhepu, Huang, Xing, Gu, Qingwen, Liu, Zhaoping
Publikováno v:
In Journal of Power Sources 1 March 2022 523
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