Spectral square moments of a resonance sum for Maass forms

DOI10.1007/s11464-016-0621-0zbMath1430.11077OpenAlexW2565688922MaRDI QIDQ1690479

Nathan Salazar, Yangbo Ye

Publication date: 19 January 2018

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-016-0621-0

zbMATH Keywords

cusp formMaass formKuznetsov trace formulafirst derivative testFourier coefficient of cusp formresonance sumweighted stationary phase

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Other groups and their modular and automorphic forms (several variables) (11F55) Fourier coefficients of automorphic forms (11F30) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (7)

Weighted stationary phase of higher orders ⋮ Bounds for average toward the resonance barrier for \(\mathrm{GL}(3) \times\mathrm{GL}(2)\) automorphic forms ⋮ Double first moment for \(L(\frac{1}{2}, \operatorname{Sym}^2 f \times g)\) by applying Petersson's formula twice ⋮ Double square moments and bounds for resonance sums of cusp forms ⋮ Double square moments and subconvexity bounds for Rankin-Selberg \(L\)-functions of holomorphic cusp forms ⋮ Further improvement on bounds for L-functions related to GL(3) ⋮ Bounds toward hypothesis S for cusp forms

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