Special values of triple product \(L\)-functions and nearly holomorphic Eisenstein series

DOI10.1007/BF02940913zbMath1019.11012MaRDI QIDQ5954694

Shin-ichiro Mizumoto

Publication date: 16 March 2003

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

special valuesalgebraicitynearly holomorphic Eisenstein liftnormalized Hecke eigenformstriple \(L\)-function

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67)

Related Items

Congruences for Hecke eigenvalues of Siegel modular forms ⋮ 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 ⋮ Equivariant holomorphic differential operators and finite averages of values of \(L\)-functions ⋮ Values of symmetric cube $L$-functions and Fourier coefficients of Siegel Eisenstein series of degree-3 ⋮ Remarks on the rightmost critical value of the triple product L-function

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