The circle method and bounds for L-functions - IV: Subconvexity for twists of GL(3) L-functions

Munshi, Ritabrata (2015) The circle method and bounds for L-functions - IV: Subconvexity for twists of GL(3) L-functions Annals of Mathematics, 182 (2). pp. 617-672. ISSN 0003-486X

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Official URL: http://annals.math.princeton.edu/2015/182-2/p06

Related URL: http://dx.doi.org/10.4007/annals.2015.182.2.6

Abstract

Let π be an SL(3,ℤ) Hecke-Maass cusp form satisfying the Ramanujan conjecture and the Selberg-Ramanujan conjecture, and let χ 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 δ > 0 such that L(1/2, π ⊗ χ) ≪π M3/4-δ

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Deposited On:31 Jan 2018 09:07
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