Nonvanishing of kernel functions and Poincaré series for Jacobi forms

DOI10.1016/j.jmaa.2022.126455zbMath1491.11052OpenAlexW4283374723MaRDI QIDQ2157718

Shivansh Pandey, Brundaban Sahu

Publication date: 22 July 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126455

zbMATH Keywords

Jacobi formsDirichlet series

Mathematics Subject Classification ID

Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Jacobi forms (11F50) Automorphic forms, one variable (11F12)

Cites Work

• Unnamed Item
• The theory of Jacobi forms
• Heegner points and derivatives of \(L\)-series. II
• \(L\)-functions for Jacobi forms à la Hecke
• Nonvanishing of Hecke \(L\)-functions associated to cusp forms inside the critical strip
• On Koecher-Maass series of Siegel modular forms
• On integral kernels for Dirichlet series associated to Jacobi forms
• NONVANISHING OF JACOBI POINCARÉ SERIES
• The vanishing of Poincaré series
• Non-vanishing of $L$-functions of Hilbert modular forms inside the critical strip

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