NONVANISHING OF JACOBI POINCARÉ SERIES

DOI10.1017/S1446788710001576zbMath1248.11035arXiv0910.4303OpenAlexW2165081269MaRDI QIDQ3008149

Soumya Das

Publication date: 14 June 2011

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

Full work available at URL: https://arxiv.org/abs/0910.4303

zbMATH Keywords

nonvanishingclassical Jacobi Poincaré seriesJacobi Poincaré series of exponential type of integer weight

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Jacobi forms (11F50)

Related Items (6)

Nonvanishing of kernel functions and Poincaré series for Jacobi forms ⋮ On the non-vanishing of Jacobi Poincaré series ⋮ Nonvanishing of Siegel Poincaré series ⋮ Jacobi forms, Saito-Kurokawa lifts, their pullbacks and sup-norms on average ⋮ An Eichler-Zagier map for Jacobi cusp forms on \(\mathcal{H} \times \mathbb{C}^{(g, 1)}\) ⋮ Analytic number theory in India during 2001-2010

Cites Work

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• Fourier coefficients and modular forms of half-integral weight
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• The vanishing of Poincaré series
• A uniform $L^p$ estimate of Bessel functions and distributions supported on $S^{n-1}$
• A weighted uniform $L^{p}$--estimate of Bessel functions: A note on a paper of Guo
• On the non-vanishing of Poincaré series
• Estimates for Fourier coefficients of Siegel cusp forms

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