On the subconvexity problem for L-functions on GL(3)

DOI10.24033/asens.2451zbMath1484.11124arXiv1504.02667OpenAlexW3151916223MaRDI QIDQ3389207

Jack Buttcane, Valentin Blomer

Publication date: 10 May 2021

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.02667

zbMATH Keywords

\(L\)-functionsspectral analysissubconvexityamplificationKuznetsov formula

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (13)

Parametrization of Kloosterman sets and \(\mathrm{SL}_3\)-Kloosterman sums ⋮ The second moment of Rankin–Selberg L-functions ⋮ Spectral aspect subconvex bounds for \(U_{n+1} \times U_n\) ⋮ The Weyl bound for triple product \(L\)-functions ⋮ Simultaneous non-vanishing of central values of \(\mathrm{GL}(2) \times \mathrm{GL}(3)\) and \(\mathrm{GL}(3)\) \(L\)-functions ⋮ MOMENTS AND HYBRID SUBCONVEXITY FOR SYMMETRIC-SQUARE L-FUNCTIONS ⋮ On sums of hyper-Kloosterman sums ⋮ Group actions and harmonic analysis in number theory. Abstracts from the workshop held May 7--12, 2023 ⋮ On the global sup-norm of \(\mathrm{GL}(3)\) cusp forms ⋮ The amplification method in the context of \(\mathrm{GL}(n)\) automorphic forms ⋮ Global decomposition of \(\operatorname{GL}(3)\) Kloosterman sums and the spectral large sieve ⋮ Bounds for twists of \(\mathrm{GL}(3)\) \(L\)-functions ⋮ The Relative Trace Formula in Analytic Number Theory

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