Further improvement on bounds for L-functions related to GL(3)

DOI10.1142/S1793042119500866zbMath1456.11085OpenAlexW2918699767MaRDI QIDQ5225074

Yangbo Ye, Hai-Wei Sun

Publication date: 25 July 2019

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042119500866

zbMATH Keywords

Rankin-Selberg \(L\)-functionautomorphic \(L\)-functionsubconvexity boundVoronoi formula

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Other Dirichlet series and zeta functions (11M41) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Related Items (3)

Bounds for average toward the resonance barrier for \(\mathrm{GL}(3) \times\mathrm{GL}(2)\) automorphic forms ⋮ Dirichlet series, asymptotics, and statistics based on functoriality from GL(2) ⋮ A new subconvex bound for GL(3) L-functions in the t-aspect

Cites Work

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• Real zeros of holomorphic Hecke cusp forms
• The circle method and bounds for \(L\)-functions. IV: Subconvexity for twists of \(\mathrm{GL}(3)\) \(L\)-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 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 cubic moment of central values of automorphic \(L\)-functions
• Spectral square moments of a resonance sum for Maass forms
• Subconvexity for Rankin-Selberg \(L\)-functions of Maass forms.
• Weighted stationary phase of higher orders
• Decoupling, exponential sums and the Riemann zeta function
• Subconvexity for twisted <i>L</i>-functions on GL(3)
• 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
• Improved subconvexity bounds for 𝐺𝐿(2)×𝐺𝐿(3) and 𝐺𝐿(3) 𝐿-functions by weighted stationary phase
• The circle method and bounds for $L$-functions---II: Subconvexity for twists of ${\rm GL}(3)$ $L$-functions
• The circle method and bounds for 𝐿-functions—III: 𝑡-aspect subconvexity for 𝐺𝐿(3) 𝐿-functions
• 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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