Improved subconvexity bounds for 𝐺𝐿(2)×𝐺𝐿(3) and 𝐺𝐿(3) 𝐿-functions by weighted stationary phase

DOI10.1090/tran/7159zbMath1439.11128arXiv1510.01219OpenAlexW3121690625MaRDI QIDQ4604426

Yangbo Ye, Mark McKee, Hai-Wei Sun

Publication date: 26 February 2018

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.01219

zbMATH Keywords

Rankin-Selberg \(L\)-functionautomorphic \(L\)-functionsubconvexity boundfirst derivative testweighted stationary phase

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Related Items (14)

Weighted stationary phase of higher orders ⋮ Hybrid subconvexity bounds for twisted \(L\)-functions on \(\mathrm{GL}(3)\) ⋮ Rankin-Selberg periods for spherical principal series ⋮ Unnamed Item ⋮ 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 ⋮ Dirichlet series, asymptotics, and statistics based on functoriality from GL(2) ⋮ Some results on divisor problems related to cusp forms ⋮ Subconvex bounds on \(\mathrm{GL}_3\) via degeneration to frequency zero ⋮ Bounds for twists of \(\mathrm{GL}(3)\) \(L\)-functions ⋮ Further improvement on bounds for L-functions related to GL(3) ⋮ Discrete mean square estimates for coefficients of symmetric power $L$-functions ⋮ A new subconvex bound for GL(3) L-functions in the t-aspect ⋮ Subconvexity for twisted 𝐿-functions on 𝐺𝐿₃ over the Gaussian number field

Cites Work

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• Real zeros of holomorphic Hecke cusp forms
• Bounds for the spectral mean value of central values of \(L\)-functions
• Bounds for \(\mathrm{GL}(3) \times \mathrm{GL}(2)\) \(L\)-functions and \(\mathrm{GL}(3)\) \(L\)-functions
• Zero density for automorphic \(L\)-functions
• Automorphic forms on GL(3,\({\mathbb{R}})\)
• Automorphic distributions, \(L\)-functions, and Voronoi summation for \(\text{GL}(3)\)
• Resonance and rapid decay of exponential sums of Fourier coefficients of a Maass form for \(\mathrm{GL}_m(\mathbb Z)\)
• The central value of the Rankin-Selberg \(L\)-functions
• Coefficients of Maass forms and the Siegel zero. Appendix: An effective zero-free region, by Dorian Goldfeld, Jeffrey Hoffstein and Daniel Lieman
• The cubic moment of central values of automorphic \(L\)-functions
• Subconvexity for Rankin-Selberg \(L\)-functions of Maass forms.
• Distribution of Maass of holomorphic cusp forms
• Weighted stationary phase of higher orders
• Uniform bound for Hecke \(L\)-functions
• The fourth power moment of automorphic $L$-functions for $GL(2)$ over a short interval
• A new bound K2/3+  for Rankin-Selberg L-functions for Hecke congruence subgroups
• PETERSSON'S CONJECTURE FOR CUSP FORMS OF WEIGHT ZERO AND LINNIK'S CONJECTURE. SUMS OF KLOOSTERMAN SUMS
• THE TWELFTH POWER MOMENT OF THE RIEMANN-FUNCTION
• Quantum variance for Hecke eigenforms☆
• ASYMPTOTIC VORONOI'S SUMMATION FORMULAS AND THEIR DUALITY FOR SL₃(ℤ)
• Automorphic Forms and L-Functions for the GroupGL(n, R)
• Estimates for Rankin-Selberg \(L\)-functions and quantum unique ergodicity

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