On the cuspidality of pullbacks of Siegel Eisenstein series to \(\text{Sp}_{2m} \times\text{Sp}_{2n}\)

DOI10.1016/j.jnt.2010.07.009zbMath1257.11045OpenAlexW2156961955MaRDI QIDQ607042

Jim L. Brown

Publication date: 19 November 2010

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2010.07.009

zbMATH Keywords

pullbacks of Eisenstein seriesSiegel Eisenstein series

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46)

Related Items (4)

Cuspidality of pullbacks of Siegel-Hilbert Eisenstein series on Hermitian symmetric domains ⋮ Pullbacks of Siegel Eisenstein series and weighted averages of critical \(L\)-values ⋮ On the Bloch-Kato conjecture for elliptic modular forms of square-free level ⋮ Arithmeticity of holomorphic cuspforms on Hermitian symmetric domains

Cites Work

• Unnamed Item
• Pullbacks of Eisenstein series from \(\text{GU}(3,3)\) and critical \(L\)-values for \(\text{GSp}(4) \times \text{GL}(2)\)
• Integral representation for \(L\)-functions for \(\text{GSp}_4\times \text{GL}_2\)
• On the arithmetic of Siegel-Hilbert cusp forms: Petersson inner products and Fourier coefficients
• Eisenstein series and zeta functions on symplectic groups
• On the Cuspidality of Pullbacks of Siegel Eisenstein Series and Applications to the Bloch-Kato Conjecture
• Saito–Kurokawa lifts and applications to the Bloch–Kato conjecture
• L-Functions for Holomorphic Forms on GSp(4) x GL(2) and Their Special Values
• Über Funktionalgleichungen automorpher L-Funktionen zur Siegelschen Modulgruppe.

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