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arXiv · 2206.06517

Short second moment bound and Subconvexity for GL(3) $L$-functions

Keshav Aggarwal·Wing Hong Leung·Ritabrata Munshi
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Abstract

Let $\pi$ be a Hecke cusp form for $\mathrm{SL}_3(\mathbb{Z})$. We bound the second moment average of $L(s,\pi)$ over a short interval to obtain the subconvexity estimate $$ L(1/2+it, \pi) \ll_{\pi, \varepsilon} (1+|t|)^{3/4-1/8+\varepsilon}. $$

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Keshav Aggarwal, Wing Hong Leung, Ritabrata Munshi. 2022-06-13. Short second moment bound and Subconvexity for GL(3) $L$-functions. https://doi.org/10.4171/jems%2F1667

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