The derivative of an incoherent Eisenstein series

DOI10.1090/S0002-9947-2012-05589-9zbMath1275.11077MaRDI QIDQ2884405

Hui Xue

Publication date: 29 May 2012

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

modular formsmoduli schemesIncoherent Eisenstein series

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Fourier coefficients of automorphic forms (11F30) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Cites Work

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• Faltings heights of CM cycles and derivatives of \(L\)-functions
• Central values of \(L\)-functions over CM fields
• On canonical and quasi-canonical liftings
• Arithmétique des algèbres de quaternions
• Central derivatives of Eisenstein series and height pairings
• Periods of abelian varieties with complex multiplication
• Automorphic forms on GL (2)
• Cycles on Siegel threefolds and derivatives of Eisenstein series
• Central values of Rankin $L$-series over real quadratic fields

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