Appendix to Orloff. Critical values of certain tensor product L- functions

DOI10.1007/BF01389037zbMath0625.10022MaRDI QIDQ579304

Don Blasius

Publication date: 1987

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143506

zbMATH Keywords

special valuesDeligne's conjecturesL-function for r-fold Rankin zeta- functions of cusp forms

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 (13)

On the critical values of \(L\)-functions of \(GL(2)\) and \(GL(2)\times GL(2)\) ⋮ On the zeta functions of Shimura varieties and periods of Hilbert modular forms ⋮ Motives over totally real fields and \(p\)-adic \(L\)-functions ⋮ Algebraicity of the central critical values of twisted triple product \(L\)-functions ⋮ Algebraicity of critical values of triple product \(L\)-functions in the balanced case ⋮ On the search of genuine $p$-adic modular $L$-functions for $GL(n)$. With a correction to: On $p$-adic $L$-functions of $GL(2)\times{}GL(2)$ over totally real fields ⋮ On period relations for automorphic 𝐿-functions I ⋮ Special values of \(L\)-functions for orthogonal groups ⋮ Holomorphy of Rankin triple \(L\)-functions; special values and root numbers for symmetric cube \(L\)-functions ⋮ SUR LES PRODUITS TRIPLES Λ-ADIQUES ⋮ Unnamed Item ⋮ 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

• Differential operators and the singular values of Eisenstein series
• On Eisenstein series
• Arithmetic of differential operators on symmetric domains
• On some arithmetic properties of modular forms of one and several variables
• On the functional equations satisfied by Eisenstein series
• On the periods of modular forms
• Siegel's modular forms and Dirichlet series. Course given at the University of Maryland, 1969-1970
• Poles and residues of Eisenstein series for symplectic and unitary groups
• The special values of the zeta functions associated with cusp forms
• On the critical values of Hecke L-series
• Unnamed Item

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