On a Generalization of a Result of Waldspurger

DOI10.4153/CJM-1996-005-3zbMath0852.11026MaRDI QIDQ4881306

Jiandong Guo

Publication date: 5 December 1996

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

symmetric spacestrace formulaautomorphic cuspidal representationlocal orbital integralsunit Hecke functions

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (12)

An infinitesimal variant of the Guo-Jacquet trace formula. I: The case of \((\mathrm{GL}_{2n, D}, \mathrm{GL}_{n, D}\times \mathrm{GL}_{n, D})\) ⋮ On the smooth transfer for Guo–Jacquet relative trace formulae ⋮ Periods and nonvanishing of central \(L\)-values for \(\mathrm{GL}(2n)\) ⋮ Epsilon dichotomy for linear models ⋮ Orbital integrals on ⋮ On the fine expansion of the unipotent contribution of the Guo-Jacquet trace formula ⋮ Multiplicity one for the pair \((\mathrm{GL}_n (D), \mathrm{GL}_n (E))\) ⋮ Local root numbers, Bessel models, and a conjecture of Guo and Jacquet ⋮ The action of a mirabolic subgroup on a symmetric variety ⋮ A Gross-Kohnen-Zagier formula for Heegner-Drinfeld cycles ⋮ On the residue method for period integrals ⋮ An infinitesimal variant of the Guo-Jacquet trace formula. II

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