Central values of degree six \(L\)-functions

DOI10.1016/j.jnt.2019.03.007zbMath1444.11096OpenAlexW2936662655MaRDI QIDQ2312900

Hang Xue

Publication date: 18 July 2019

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2019.03.007

zbMATH Keywords

rationalityperiod integralscentral critical values

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Related Items

Algebraicity of the central critical values of twisted triple product \(L\)-functions, AUTOMORPHIC SL ₂ ‐PERIODS AND THE SUBCONVEXITY PROBLEM FOR GL ₂ × GL ₃, Pullback formulae for nearly holomorphic Saito-Kurokawa lifts, A theory of Miyawaki liftings: the Hilbert-Siegel case, Pullbacks of Saito-Kurokawa lifts and a central value formula for degree 6 \(L\)-series, On Deligne's conjecture for certain automorphic \(L\)-Functions for \(\mathrm{GL}(3)\times\mathrm{GL}(2)\) and \(\mathrm{GL}(4)\)

Cites Work

• The theory of Jacobi forms
• On the periods of modular forms
• Fourier-Jacobi periods of classical Saito-Kurokawa lifts
• Pullback formulae for nearly holomorphic Saito-Kurokawa lifts
• Pullbacks of Saito-Kurokawa lifts
• Periods of Saito–Kurokawa Representations
• The special values of the zeta functions associated with cusp forms
• Elements of the representation theory of the Jacobi group