Bounds for standard $L$-functions

Paul D. Nelson

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arXiv · 2109.15230

Bounds for standard $L$-functions

Paul D. Nelson

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Abstract

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.

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Paul D. Nelson. 2021-09-30. Bounds for standard $L$-functions. https://arxiv.org/abs/2109.15230

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