Cuspidality of pullbacks of Siegel-Hilbert Eisenstein series on Hermitian symmetric domains

DOI10.1216/RMJ-2014-44-2-497zbMath1310.11051MaRDI QIDQ404492

Molly Dunkum, Dominic Lanphier

Publication date: 4 September 2014

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1407154911

zbMATH Keywords

Eisenstein seriesFourier coefficientscuspidalitypullback formula

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Other groups and their modular and automorphic forms (several variables) (11F55)

Related Items (1)

Arithmeticity of holomorphic cuspforms on Hermitian symmetric domains

Cites Work

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• Decomposition of Eisenstein series: Rankin triple products
• On the cuspidality of pullbacks of Siegel Eisenstein series to \(\text{Sp}_{2m} \times\text{Sp}_{2n}\)
• Eisenstein series on Shimura varieties
• Explicit constructions of automorphic \(L\)-functions
• On the arithmetic of Siegel-Hilbert cusp forms: Petersson inner products and Fourier coefficients
• Values of symmetric cube $L$-functions and Fourier coefficients of Siegel Eisenstein series of degree-3
• ACTION OF SYMPLECTIC GROUPS ON ISOTROPIC SUBSPACES

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