Some remarks on triple L-functions

DOI10.1007/BF01456996zbMath0607.10020MaRDI QIDQ1085199

Takakazu Satoh

Publication date: 1987

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164231

zbMATH Keywords

functional equationspecial valuesSiegel modular formstriple L-function

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67)

Related Items (16)

On triple L-functions ⋮ Certain series attached to an even number of elliptic modular forms ⋮ Nearly holomorphic Eisenstein liftings ⋮ On algebraicity of special values of symmetric 4-th and 6-th power \(L\)-functions for \(\operatorname{GL}(2)\) ⋮ Algebraicity of critical values of triple product \(L\)-functions in the balanced case ⋮ Congruences to Ikeda-Miyawaki lifts and triple \(L\)-values of elliptic modular forms ⋮ Exact critical values of the symmetric fourth \(L\) function and vector valued Siegel modular forms ⋮ Eisenstein Congruences for SO(4, 3), SO(4, 4), Spinor, and Triple ProductL-values ⋮ Triple products of Coleman's families ⋮ A Dirichlet series attached to three Siegel modular forms ⋮ Special values of triple product \(L\)-functions and nearly holomorphic Eisenstein series ⋮ Critical values of \(L\)-functions on \(\text{GSp}_2 \times \text{GL}_2\) ⋮ Fourier coefficients of cusp forms and automorphic \(L\)-functions ⋮ Congruence Primes of the Kim–Ramakrishnan–Shahidi Lift ⋮ Pullbacks of Saito-Kurokawa lifts ⋮ On Deligne's conjecture for certain automorphic \(L\)-Functions for \(\mathrm{GL}(3)\times\mathrm{GL}(2)\) and \(\mathrm{GL}(4)\)

Cites Work

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• Decomposition of Eisenstein series: Rankin triple products
• The L-function \(L_ 3(s,\pi _{\Delta})\) is entire
• Vector valued Siegel's modular forms of degree two and the associated Andrianov \(L\)-functions
• Table of the Fourier coefficients of Eisenstein series of degree 3
• Construction of certain vector valued Siegel modular forms of degree two
• On certain vector valued Siegel modular forms of degree two
• On the derivatives of theta functions and modular forms
• Siegel's modular forms and Dirichlet series. Course given at the University of Maryland, 1969-1970
• Über Funktionalgleichungen automorpher L-Funktionen zur Siegelschen Modulgruppe.
• Special values of zeta functions attached to Siegel modular forms
• The special values of the zeta functions associated with cusp forms
• EISENSTEIN SERIES ON THE SYMPLECTIC GROUP

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