The subconvexity bound for standard L-function in level aspect

In this paper we prove a new subconvexity result for the standard L-function of a unitary cuspidal automorphic representation $\pi$ 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.

Publication Details

Journal
ArXiv.org
Published
2025-03-16
Primary Topic
Advanced Algebra and Geometry
Type
article
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article

The subconvexity bound for standard L-function in level aspect

ArXiv.org
Advanced Algebra and Geometry
article

The subconvexity bound for standard L-function in level aspect

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Abstract

In this paper we prove a new subconvexity result for the standard L-function of a unitary cuspidal automorphic representation $\pi$ 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.

ArXiv.org
Openalex Percentile: Top 47%
Advanced Algebra and Geometry
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The subconvexity bound for standard L-function in level aspect · ArXiv.org (2025) | TGRS Research Map | TGRS