The subconvexity bound for standard L-function in level aspect

Fuente: arXiv
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Main Authors: Hu, Yueke, Nelson, Paul
Format: Preprint
Published: 2025
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author Hu, Yueke
Nelson, Paul
author_facet Hu, Yueke
Nelson, Paul
contents In this paper we prove a new subconvexity result for the standard L-function of a unitary cuspidal automorphic representation $π$ of $\text{GL}_n$, where the finite set of places $S$ with large conductors is allowed to vary, provided that the local parameters at every place in $S$ satisfy certain uniform growth condition.
format Preprint
id arxiv_https___arxiv_org_abs_2503_12310
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The subconvexity bound for standard L-function in level aspect
Hu, Yueke
Nelson, Paul
Number Theory
In this paper we prove a new subconvexity result for the standard L-function of a unitary cuspidal automorphic representation $π$ of $\text{GL}_n$, where the finite set of places $S$ with large conductors is allowed to vary, provided that the local parameters at every place in $S$ satisfy certain uniform growth condition.
title The subconvexity bound for standard L-function in level aspect
topic Number Theory
url https://arxiv.org/abs/2503.12310