3 papers
math.NT2026
Rankin--Selberg Subconvexity via Spectral Reciprocity
Peter Humphries, Liyang Yang
We establish explicit subconvex bounds for central values of Rankin--Selberg -functions associated with pairs of unitary cuspidal automorphic representation…
math.NT2025
Low-lying zeros of Hilbert modular -functions weighted by powers of central -values
Zhining Wei, Liyang Yang, Shifan Zhao
Let be the set of primitive Hilbert modular forms of weight and prime level , with trivial central character. We s…
math.NT2024
Relative Trace Formula and Uniform non-vanishing of Central -values of Hilbert Modular Forms
Zhining Wei, Liyang Yang, Shifan Zhao
Let be the set of normalized Hilbert newforms of weight and prime level . In this paper, utilizing regularized rel…