Liyang Yang

collaborators

3 papers

math.NT2023

Relative Trace Formula and Twisted $L$ -functions: the Burgess Bound

Liyang Yang

Let $F$ be a number field, $π$ either a unitary cuspidal automorphic representation of $GL (2) / F$ or a unitary Eisenstein series, and $χ$ a unitary Hecke character of analy…

math.NT2023

Non-vanishing of twists of $GL_{4} (A_{Q})$ $L$ -functions

Maksym Radziwiłł, Liyang Yang

Let $π$ be a unitary cuspidal automorphic representation of $GL_{4} (A_{Q})$ . Let $f \geq 1$ be given. We show that there exists infinitely many primitive e…

math.NT2023

Relative Trace Formula and $L$ -functions for $GL (n + 1) \times GL (n)$

Liyang Yang

We establish a relative trace formula on $GL (n + 1)$ weighted by cusp forms on $GL (n)$ over number fields. The spectral side is a weighted average of Rankin-Selberg…

Relative Trace Formula and Twisted L-functions: the Burgess Bound

Non-vanishing of twists of GL4​(AQ​) L-functions

Relative Trace Formula and L-functions for GL(n+1)×GL(n)

Relative Trace Formula and Twisted $L$ -functions: the Burgess Bound

Non-vanishing of twists of $GL_{4} (A_{Q})$ $L$ -functions

Relative Trace Formula and $L$ -functions for $GL (n + 1) \times GL (n)$