Geodesic
The circle method and bounds for 𝐿-functions—III: 𝑡-aspect subconvexity for 𝐺𝐿(3) 𝐿-functions
Munshi, Ritabrata1
1 School of Mathematics, Tata Institute of Fundamental Research, 1 Dr. Homi Bhabha Road, Colaba, Mumbai 400005, India
Journal of the American Mathematical Society, Tome 28 (2015) no. 4, pp. 913-938

Voir la notice de l'article provenant de la source American Mathematical Society

Let $\pi$ be a Hecke-Maass cusp form for $SL(3,\mathbb {Z})$. In this paper we will prove the following subconvex bound: \[ L\left (\tfrac {1}{2}+it,\pi \right )\ll _{\pi ,\varepsilon } (1+|t|)^{\frac {3}{4}-\frac {1}{16}+\varepsilon }. \]
DOI : 10.1090/jams/843

Munshi, Ritabrata 1

1 School of Mathematics, Tata Institute of Fundamental Research, 1 Dr. Homi Bhabha Road, Colaba, Mumbai 400005, India 
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Munshi, Ritabrata. The circle method and bounds for 𝐿-functions—III: 𝑡-aspect subconvexity for 𝐺𝐿(3) 𝐿-functions. Journal of the American Mathematical Society, Tome 28 (2015) no. 4, pp. 913-938. doi: 10.1090/jams/843

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