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arXiv:2109.15230 [math.NT]AbstractReferencesReviewsResources

Bounds for standard $L$-functions

Paul D. Nelson

Published 2021-09-30, updated 2023-01-24Version 2

Let $\pi$ be a cuspidal automorphic representation of a general linear group over the rational numbers. We establish a subconvex bound for the standard $L$-function of $\pi$ in the $t$-aspect. More generally, we address the spectral aspect in the case of uniform parameter growth.

Comments: 239 pages. v2: references updated, minor corrections/clarifications
Categories: math.NT
Subjects: 11F67, 11F70, 11M99, 35A27, 53D50
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