Geodesic
The circle method and bounds for $L$-functions – IV: Subconvexity for twists of $\mathrm{GL}(3)$ $L$-functions
Ritabrata Munshi1
1 Tata Institute of Fundamental Research, Colaba, Mumbai, India
Annals of mathematics, Tome 182 (2015) no. 2, pp. 617-672.

Voir la notice de l'article provenant de la source Annals of Mathematics website

Let $\pi$ be an $\mathrm{SL}(3,\mathbb Z)$ Hecke-Maass cusp form satisfying the Ramanujan conjecture and the Selberg-Ramanujan conjecture, and let $\chi$ be a primitive Dirichlet character modulo $M$, which we assume to be prime for simplicity. We will prove that there is a computable absolute constant $\delta>0$ such that $$ L\left(\tfrac{1}{2},\pi\otimes\chi\right)\ll_{\pi} M^{\frac{3}{4}-\delta}. $$
DOI : 10.4007/annals.2015.182.2.6

Ritabrata Munshi 1

1 Tata Institute of Fundamental Research, Colaba, Mumbai, India 
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Ritabrata Munshi. The circle method and bounds for $L$-functions – IV: Subconvexity for twists of $\mathrm{GL}(3)$ $L$-functions. Annals of mathematics, Tome 182 (2015) no. 2, pp. 617-672. doi : 10.4007/annals.2015.182.2.6. http://geodesic.mathdoc.fr/articles/10.4007/annals.2015.182.2.6/

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