\(p\)-adic measures attached to Siegel modular forms

DOI10.5802/aif.1796zbMath0962.11023OpenAlexW2030985636MaRDI QIDQ1586371

Siegfried Böcherer, Claus Günther Schmidt

Publication date: 13 November 2000

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2000__50_5_1375_0

zbMATH Keywords

standard \(L\)-functionsSiegel modular forms\(p\)-adic measures\(p\)-adic interpolationalgebraic special \(L\)-values

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Congruences for modular and (p)-adic modular forms (11F33) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67)

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Lowest weight modules of \(\mathrm{Sp}_4 (\mathbb{R})\) and nearly holomorphic Siegel modular forms, The special values of the standard 𝐿-functions for 𝐺𝑆𝑝_{2𝑛}×𝐺𝐿₁, Integral period relations and congruences, Arithmetical modular forms and new constructions of \(p\)-adic \(L\)-functions on classical groups, Ap-ADIC HERMITIAN MAASS LIFT, Unnamed Item, Derivative of the standard 𝑝-adic 𝐿-function associated with a Siegel form, On algebraicity of special values of symmetric 4-th and 6-th power \(L\)-functions for \(\operatorname{GL}(2)\), \(p\)-adic admissible measures attached to Siegel modular forms of arbitrary genus, Yoshida lifts and Selmer groups, On the Fourier coefficients of Siegel-Eisenstein series of degree 2 for odd level, The generalized doubling method: local theory, Harder's conjecture. I, Multiplicity one theorems for the generalized doubling method (with an appendix by Avraham Aizenbud and Dmitry Gourevitch), Non-cuspidal Hida theory for Siegel modular forms and trivial zeros of \(p\)-adic \(L\)-functions, On some \(p\)-adic properties of Siegel-Eisenstein series., Exact critical values of the symmetric fourth \(L\) function and vector valued Siegel modular forms, Two variable \(p\)-adic \(L\) functions attached to eigenfamilies of positive slope, -ADIC -FUNCTIONS FOR ORDINARY FAMILIES ON SYMPLECTIC GROUPS, p‐adic L‐functions on metaplectic groups, On the Siegel Eisenstein series of degree two for low weights, Triple products of Coleman's families, Families of Siegel modular forms, \(L\)-functions and modularity lifting conjectures, Congruence of Siegel modular forms and special values of their standard zeta functions, Some Siegel modular standard \(L\)-values, and Shafarevich-Tate groups, On zeta functions and families of Siegel modular forms, Petersson products of singular and almost singular theta series, A remark on the normalization of the standard zeta values for Siegel modular forms, On the standard \(L\)-function for \(\mathrm{GSp}_{2n}\times\mathrm{GL}_1\) and algebraicity of symmetric fourth \(L\)-values for \(\mathrm{GL}_2\), On the analytic properties of the standard \(L\)-function attached to Siegel-Jacobi modular forms, Doubling constructions and tensor product \(L\)-functions: the linear case, Integrality and cuspidality of pullbacks of nearly holomorphic Siegel Eisenstein series, Nearly overconvergent Siegel modular forms, Ordinary families of Klingen Eisenstein series on symplectic groups, On Special L-Values Attached to Siegel Modular Forms, p-adic Measures for Hermitian Modular Forms and the Rankin–Selberg Method

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