Bounds for twists of \(\mathrm{GL}(3)\) \(L\)-functions

DOI10.4171/JEMS/1046zbMath1506.11077arXiv1802.05111MaRDI QIDQ2031683

Yongxiao Lin

Publication date: 10 June 2021

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.05111

zbMATH Keywords

\(L\)-functionssubconvexityHecke-Maass cusp forms

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Other Dirichlet series and zeta functions (11M41) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Related Items (6)

Subconvexity for twisted GL$_3$ $L$-functions ⋮ Sub-convexity bound for \(\mathrm{GL}(3) \times \mathrm{GL}(2)\) \(L\)-functions: the depth aspect ⋮ On algebraic twists with composite moduli ⋮ Algebraic twists of GL3 × GL2 L-functions ⋮ Hybrid subconvexity bounds for twists of \(\mathrm{GL}(3)\times\mathrm{GL}(2)\) \(L\)-functions ⋮ Subconvexity for \(\mathrm{GL}_3(\mathbb{R})L\)-functions: the key identity via integral representations

Cites Work

• Unnamed Item
• Unnamed Item
• 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
• Automorphic distributions, \(L\)-functions, and Voronoi summation for \(\text{GL}(3)\)
• Bounds for automorphic \(L\)-functions
• The cubic moment of central values of automorphic \(L\)-functions
• The subconvexity problem for \(\mathrm{GL}_2\)
• Subconvex bounds on \(\mathrm{GL}_3\) via degeneration to frequency zero
• Upper and lower bounds at \(s=1\) for certain Dirichlet series with Euler product.
• Distribution of Maass of holomorphic cusp forms
• Oscillatory integrals with uniformity in parameters
• Hybrid bounds for twists of \(\mathrm{GL}(3)\) \(L\)-functions
• Bounds for \(\mathrm{GL}_{3}\,L\)-functions in depth aspect
• The circle method and bounds for \(L\)-functions. I
• Weyl-type hybrid subconvexity bounds for twisted \(L\)-functions and Heegner points on shrinking sets
• On the existence and temperedness of cusp forms for SL3(Z)
• Subconvexity for twisted <i>L</i>-functions on GL(3)
• On the subconvexity problem for L-functions on GL(3)
• On Euler Products and the Classification of Automorphic Representations I
• Improved subconvexity bounds for 𝐺𝐿(2)×𝐺𝐿(3) and 𝐺𝐿(3) 𝐿-functions by weighted stationary phase
• Theory of Fundamental Bessel Functions of High Rank
• Subconvexity for $L$-functions of non-spherical cusp forms on ${\rm GL}(3)$
• Subconvexity for twisted 𝐿-functions on 𝐺𝐿₃ over the Gaussian number field
• 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
• Cancellation in additively twisted sums on GL(n)

This page was built for publication: Bounds for twists of \(\mathrm{GL}(3)\) \(L\)-functions