Liyang Yang

collaborators

3 papers

math.NT2025

Spectral Reciprocity: A Fourier--Analytic Approach

Liyang Yang

We develop a Fourier--analytic framework for establishing spectral reciprocity formulas linking $GL_{3}$ and $GL_{2}$ automorphic spectra over number fields. The meth…

math.NT2025

Bessel Periods on $U (2, 1) \times U (1, 1)$ , Relative Trace Formula and Non-Vanishing of Central $L$ -values

Philippe Michel, Dinakar Ramakrishnan, Liyang Yang

In this paper we calculate the asymptotics of the second moment of the Bessel periods associated to certain holomorphic cuspidal representations $(I ¨ , I ¨ ^{'})$ of $U(2,1) \times U(1,1…

math.NT2024

Relative Trace Formula And Simultaneous Nonvanishing for GL_3 x GL_2 and GL_3 x GL_1 L-functions

Philippe Michel, Dinakar Ramakrishnan, Liyang Yang

Fix a Dirichlet character $I ¨ $ and a cuspidal GL $(2)$ eigenform $I ¨ $ with relatively prime conductors. Then we show that there are infinitely many cusp forms $I ¨ $ on GL $(3)$ such t…

Spectral Reciprocity: A Fourier--Analytic Approach

Bessel Periods on U(2,1)×U(1,1), Relative Trace Formula and Non-Vanishing of Central L-values

Relative Trace Formula And Simultaneous Nonvanishing for GL_3 x GL_2 and GL_3 x GL_1 L-functions

Bessel Periods on $U (2, 1) \times U (1, 1)$ , Relative Trace Formula and Non-Vanishing of Central $L$ -values