Liyang Yang

activity

20162026

most citedThe Average Number of Goldbach Representations

8 citations · 10 across the 14 of their papers we have counts for

collaborators

15 papers

math.NT2026

Fourier Spectral Reciprocity and Canonical Hecke $L$ -Functions

Liyang Yang

We prove a Fourier-type toric spectral reciprocity formula over number fields, relating Tate integrals over a quadratic extension to a dual family of Hecke periods over the base fi…

math.NT2026

Weyl Subconvexity for $GL_{2}$ with Simple Supercuspidal Ramification

Liyang Yang

We establish Weyl-type subconvexity bounds in the level aspect for cuspidal automorphic representations of $GL_{2} / F$ with simple supercuspidal ramification at a prime ideal…

math.NT2026

Symmetric Spectral Reciprocity for $GL (2)$ and Uniform Subconvexity

Liyang Yang

We construct a new analytic regularization of the Petersson norm identity for Eisenstein series on $GL_{2}$ over a number field $F$ , and derive from it an explicit symmetric…

math.NT2023

Average of Central L-values for GL(2) $\times$ GL(1), Hybrid Subconvexity, and Simultaneous Nonvanishing

Liyang Yang

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 subc…

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…

Fourier Spectral Reciprocity and Canonical Hecke L-Functions

Weyl Subconvexity for GL2​ with Simple Supercuspidal Ramification

Symmetric Spectral Reciprocity for GL(2) and Uniform Subconvexity

Average of Central L-values for GL(2)×GL(1), Hybrid Subconvexity, and Simultaneous Nonvanishing

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

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

Fourier Spectral Reciprocity and Canonical Hecke $L$ -Functions

Weyl Subconvexity for $GL_{2}$ with Simple Supercuspidal Ramification

Symmetric Spectral Reciprocity for $GL (2)$ and Uniform Subconvexity

Average of Central L-values for GL(2) $\times$ GL(1), Hybrid Subconvexity, and Simultaneous Nonvanishing

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

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