Liyang Yang

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20232026

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math.NT2026

Rankin--Selberg Subconvexity via Spectral Reciprocity

Peter Humphries, Liyang Yang

We establish explicit subconvex bounds for central values of Rankin--Selberg $L$ -functions $L (1/2, π \times π^{'})$ associated with pairs of unitary cuspidal automorphic representations…

math.NT2025

Low-lying zeros of Hilbert modular $L$ -functions weighted by powers of central $L$ -values

Zhining Wei, Liyang Yang, Shifan Zhao

Let $F (k, q)$ be the set of primitive Hilbert modular forms of weight $k$ and prime level $q$ , with trivial central character. We s…

math.NT2024

Relative Trace Formula and Uniform non-vanishing of Central $L$ -values of Hilbert Modular Forms

Zhining Wei, Liyang Yang, Shifan Zhao

Let $F (k, q)$ be the set of normalized Hilbert newforms of weight $k$ and prime level $q$ . In this paper, utilizing regularized rel…

math.NT2023

Relative Trace Formula, Subconvexity and Quantitative Nonvanishing of Rankin-Selberg $L$ -functions for $GL (n + 1) \times GL (n)$

Liyang Yang

Let $π^{'}$ be a fixed unitary cuspidal representation of $GL (n) / Q .$ We establish a subconvex bound in the $t$ -aspect $$ L(1/2+it,π\timesπ')\ll_{π,π',\varepsilon}(1+…

Rankin--Selberg Subconvexity via Spectral Reciprocity

Low-lying zeros of Hilbert modular L-functions weighted by powers of central L-values

Relative Trace Formula and Uniform non-vanishing of Central L-values of Hilbert Modular Forms

Relative Trace Formula, Subconvexity and Quantitative Nonvanishing of Rankin-Selberg L-functions for GL(n+1)×GL(n)

Low-lying zeros of Hilbert modular $L$ -functions weighted by powers of central $L$ -values

Relative Trace Formula and Uniform non-vanishing of Central $L$ -values of Hilbert Modular Forms

Relative Trace Formula, Subconvexity and Quantitative Nonvanishing of Rankin-Selberg $L$ -functions for $GL (n + 1) \times GL (n)$