Paul D. Nelson

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math.NT2025

The subconvexity bound for standard L-function in level aspect

Yueke Hu, Paul Nelson

In this paper we prove a new subconvexity result for the standard L-function of a unitary cuspidal automorphic representation $π$ of $GL_{n}$ , where the finite set of places $…

math.NT2023

Subconvex bounds for $U_{n + 1} \times U_{n}$ in horizontal aspects

Yueke Hu, Paul D. Nelson

For $L$ -functions attached to automorphic representations of unitary groups $U_{n + 1} \times U_{n}$ , we establish a subconvex bound valid in certain horizontal aspects, where the set o…

The subconvexity bound for standard L-function in level aspect

Subconvex bounds for Un+1​×Un​ in horizontal aspects

Subconvex bounds for $U_{n + 1} \times U_{n}$ in horizontal aspects