scientific article

zbMath1109.11005MaRDI QIDQ3421130

Yangbo Ye, Liu, Jianya

Publication date: 12 February 2007

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Eisenstein seriesmodular formsspectral theoryRiemann hypothesestrace formulaszeta and \(L\)-functionsKloosterman seriessurvey articlesLindelöf hypotheses

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Gauss and Kloosterman sums; generalizations (11L05) Fourier coefficients of automorphic forms (11F30) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (10)

Subconvexity bounds for Rankin-Selberg \(L\)-functions for congruence subgroups ⋮ 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 ⋮ Spectral square moments of a resonance sum for Maass forms ⋮ 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 ⋮ Improved subconvexity bounds for 𝐺𝐿(2)×𝐺𝐿(3) and 𝐺𝐿(3) 𝐿-functions by weighted stationary phase ⋮ Rankin-Selberg \(L\)-functions on the critical line ⋮ The fourth power moment of automorphic $L$-functions for $GL(2)$ over a short interval ⋮ Bounds toward hypothesis S for cusp forms

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