5 papers · 1 filter
Decorrelation of Bessel periods for symmetric cubes of
Shenghao Hua, Xinchen Miao
We demonstrate that for symmetric cubes of algebraic regular Hecke eigenforms on , a decorrelation phenomenon occurs for global Bessel periods of $\mathrm{SO}(5)\ti…
The Weyl bound for triple product L-functions in the cubic level
Xinchen Miao, Huimin Zhang
In this paper, we focus on the strong subconvexity bounds for triple product L-functions in the cubic level aspect. Our proof on the Weyl-type bound synthesizes techniques from cla…
Spectral Reciprocity for the first moment of triple product -functions and applications
Xinchen Miao
Let be a number field with adele ring , be two fixed unitary automorphic representations of with finite coprime analytic…
Spectral Reciprocity and Hybrid Subconvexity Bound for triple product -functions
Xinchen Miao
Let be a number field with adele ring , be two unitary cuspidal automorphic representations of with finite analytic cond…
Bessel Functions and Kloosterman Integrals on GL(n)
Xinchen Miao
This paper will focus on the proof of local integrability of Bessel functions for GL(n) (p-adic case) by using the relations between Bessel functions and local Kloosterman (orbital…