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pro vyhledávání: '"Yang, Liyang"'
In this paper we calculate the asymptotics of the second moment of the Bessel periods associated to certain holomorphic cuspidal representations $(\pi, \pi')$ of $U(2,1) \times U(1,1)$ of regular infinity type (averaged over $\pi$). Using these, we o
Externí odkaz:
http://arxiv.org/abs/2309.08490
Autor:
Yang, Liyang
Let $\pi'$ be a fixed unitary cuspidal representation of $\mathrm{GL}(n)/\mathbb{Q}.$ We establish a subconvex bound in the $t$-aspect $$ L(1/2+it,\pi\times\pi')\ll_{\pi,\pi',\varepsilon}(1+|t|)^{\frac{n(n+1)}{4}-\frac{1}{4\cdot (4n^2+2n-1)}+\varepsi
Externí odkaz:
http://arxiv.org/abs/2309.07534
Autor:
Yang, Liyang
We employ a regularized relative trace formula to establish a second moment estimate for twisted $L$-functions across all aspects over a number field. Our results yield hybrid subconvex bounds for both Hecke $L$-functions and twisted $L$-functions, c
Externí odkaz:
http://arxiv.org/abs/2307.05571
Autor:
Yang, Liyang
Let $F$ be a number field, $\pi$ either a unitary cuspidal automorphic representation of $\mathrm{GL}(2)/F$ or a unitary Eisenstein series, and $\chi$ a unitary Hecke character of analytic conductor $C(\chi).$ We develop a regularized relative trace
Externí odkaz:
http://arxiv.org/abs/2305.10719
Autor:
Radziwiłł, Maksym, Yang, Liyang
Let $\pi$ be a unitary cuspidal automorphic representation of $\text{GL}_{4}(\mathbb{A}_{\mathbb{Q}})$. Let $f \geq 1$ be given. We show that there exists infinitely many primitive even (resp. odd) Dirichlet characters $\chi$ with conductor co-prime
Externí odkaz:
http://arxiv.org/abs/2304.09171
Autor:
Yang, Liyang
We establish a relative trace formula on $\mathrm{GL}(n+1)$ weighted by cusp forms on $\mathrm{GL}(n)$ over number fields. The spectral side is a weighted average of Rankin-Selberg $L$-functions for $\mathrm{GL}(n+1)\times\mathrm{GL}(n)$ over the \te
Externí odkaz:
http://arxiv.org/abs/2303.02225
Autor:
Yang, Liyang
In this thesis we establish a coarse Jacquet-Zagier trace identity fo GL(n). This formula connects adjoint L-functions on GL(n) with Artin L-functions attached to certain induced Galois representations. We prove the absolute convergence when Re(s) >
Externí odkaz:
https://thesis.library.caltech.edu/14185/3/Thesis-Liyang.pdf
Publikováno v:
In Food Chemistry: X 30 October 2024 23
Autor:
Hao, Yanyu, Wen, Junyan, Yang, Liyang, Li, Zhujia, Guo, Ying, Luo, JingWen, Gao, Mingxuan, Chen, Zhimin, Wen, Ge
Publikováno v:
In Journal of Radiation Research and Applied Sciences September 2024 17(3)
Publikováno v:
In Water Research 1 December 2024 267