Eisenstein Series and the Selberg Trace Formula. II

DOI10.2307/2000586zbMath0625.10024OpenAlexW4251401978MaRDI QIDQ3027092

Hervé Jacquet, Don Zagier

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2000586

zbMATH Keywords

Eisenstein seriesSelberg trace formuladivisibilitycusp formsymmetric squareadelesDedekind zeta-functionL-seriesgeneralization of the trace formulaintegral of the kernel

Mathematics Subject Classification ID

Zeta functions and (L)-functions of number fields (11R42) Adèle rings and groups (11R56) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (10)

On Motohashi’s formula ⋮ Holomorphy of adjoint L-functions for \(\mathrm{GL}(n):n\le 4\) ⋮ Self-intersection of the relative dualizing sheaf on modular curves \(X_{ 1 }(N)\) ⋮ A new proof of the Waldspurger formula. I ⋮ An explicit trace formula of Jacquet-Zagier type for Hilbert modular forms ⋮ On Kuznetsov-Bykovskii's formula of counting prime geodesics ⋮ Deducing Selberg trace formula via Rankin–Selberg method for 𝐺𝐿₂ ⋮ A trace formula for symmetric spaces ⋮ Bias of root numbers for Hilbert newforms of cubic level ⋮ On zeroes of the twisted tensor \(L\)-function

Cites Work

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• Automorphic forms on GL (2)
• L-Indistinguishability For SL (2)
• On the Holomorphy of Certain Dirichlet Series
• Automorphic Forms on Adele Groups. (AM-83)
• A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$

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