Applications of the Kuznetsov formula on \(\mathrm{GL}(3)\). II: The level aspect

DOI10.1007/s00208-017-1558-7zbMath1400.11104arXiv1410.5106OpenAlexW2963919989MaRDI QIDQ2405956

Valentin Blomer, Jack Buttcane, Péter Maga

Publication date: 26 September 2017

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.5106

zbMATH Keywords

\(L\)-functionsRamanujan conjectureKuznetsov formula

Mathematics Subject Classification ID

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

Related Items (12)

Hecke-Maass cusp forms on \(\operatorname{PGL}_n\) of large levels with non-vanishing \(L\)-values ⋮ Rankin-Selberg periods for spherical principal series ⋮ Parametrization of Kloosterman sets and \(\mathrm{SL}_3\)-Kloosterman sums ⋮ The second moment of Rankin–Selberg L-functions ⋮ A density theorem for Sp(4)$\operatorname{Sp}(4)$ ⋮ On Sarnak’s Density Conjecture and Its Applications ⋮ The density hypothesis for horizontal families of lattices ⋮ Optimal lifting for the projective action of \(\mathrm{SL}_3(\mathbb{Z})\) ⋮ Density theorems for \(\mathrm{GL}(n)\) ⋮ Bounds for traces of Hecke operators and applications to modular and elliptic curves over a finite field ⋮ The Relative Trace Formula in Analytic Number Theory ⋮ Applications of analytic newvectors for \(\operatorname{GL}(N)\)

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