Algebraicity of critical values of adjoint \(L\)-functions for \(\mathrm{GSp}_4\)

DOI10.1007/s11139-022-00582-4OpenAlexW4280529357MaRDI QIDQ2084556

Shih-Yu Chen

Publication date: 18 October 2022

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-022-00582-4

zbMATH Keywords

critical valuesadjoint \(L\)-functionsLapid-Mao conjecture

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67)

Cites Work

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• Refined global Gan-Gross-Prasad conjecture for Bessel periods
• A conjecture on Whittaker-Fourier coefficients of cusp forms
• The regularized Siegel-Weil formula (the second term identity) and the Rallis inner product formula
• The local Langlands conjecture for \(\text{GSp}(4)\)
• On the adjoint \(L\)-function of the \(p\)-adic \(\text{GSp}(4)\)
• Explicit constructions of automorphic \(L\)-functions
• Splitting metaplectic covers of dual reductive pairs
• A regularized Siegel-Weil formula: The first term identity
• Rationality results for the exterior and the symmetric square \(L\)-function (with an appendix by Nadir Matringe)
• Ramified degenerate principal series representations for \(Sp(n)\)
• On the local Langlands conjecture for \(\text{GL}_n\)
• Adele groups and Siegel-Tamagawa formulas
• Automorphic Plancherel density theorem
• A simple proof of Langlands conjectures for \(\text{GL}_n\) on a \(p\)-adic field
• The Gross-Prasad conjecture and local theta correspondence
• Zeta functions of simple algebras
• Pullbacks of Saito-Kurokawa lifts
• On the Howe correspondence for symplectic-orthogonal dual pairs
• The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)
• Theta correspondences for 𝐺𝑆𝑝(4)
• On endoscopy and the refined Gross–Prasad conjecture for (SO₅, SO₄)
• On L-functions for Quaternion Unitary Groups of Degree 2 and GL(2) (with an Appendix by M. Furusawa and A. Ichino)
• On the Special Values of Certain Rankin–Selberg L-Functions and Applications to Odd Symmetric Power L-Functions of Modular Forms
• Evaluation of the Symmetric Square at the Near Center Point
• On the asymptotics of Whittaker functions
• On Euler Products and the Classification of Automorphic Forms II
• On the Decomposition of a Representation of SO_n When Restricted to SO_n-1
• Entireness of the Spinor L-functions for certain generic cusp forms on GSp(2)
• On the arithmetic of Shalika models and the critical values of L-functions for GL2n
• Generic transfer from GSp(4) to GL(4)
• Theta dichotomy for unitary groups
• Degree 16 standard 𝐿-function of 𝐺𝑆𝑝(2)×𝐺𝑆𝑝(2)
• Global \(L\)-packets for GSp(2) and theta lifts

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