Nonvanishing of Siegel Poincaré series

DOI10.1007/S00209-011-0961-0zbMath1300.11048OpenAlexW2029515277MaRDI QIDQ1925749

Soumya Das, Jyoti Sengupta

Publication date: 19 December 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-011-0961-0

zbMATH Keywords

Poincaré seriesSiegel modular formstwisted Kloosterman sums

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Gauss and Kloosterman sums; generalizations (11L05)

Related Items (5)

On the non-vanishing of Jacobi Poincaré series ⋮ On a family of Siegel Poincaré series ⋮ Linear relations of Siegel Poincaré series and non-vanishing of the central values of spinor \(L\)-functions ⋮ Linear independence of Poincaré series of exponential type via non-analytic methods ⋮ Nonvanishing of Koecher-Maass series attached to Siegel cusp forms

Cites Work

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• NONVANISHING OF JACOBI POINCARÉ SERIES
• The vanishing of Poincaré series
• ON THE NON-VANISHING OF CERTAIN MODULAR FORMS
• Fourier coefficients of Siegel cusp forms of degree two
• On the non-vanishing of Poincaré series
• Estimates for Fourier coefficients of Siegel cusp forms

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