Rankin-Cohen brackets on Siegel modular forms and special values of certain Dirichlet series

DOI10.1007/s11139-016-9783-3zbMath1434.11099OpenAlexW2324108503MaRDI QIDQ1688185

Abhash Kumar Jha, Brundaban Sahu

Publication date: 5 January 2018

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-016-9783-3

zbMATH Keywords

Dirichlet seriesSiegel modular formsRankin-Cohen bracketsadjoint map

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (3)

Rankin-Cohen brackets on Hilbert modular forms and special values of certain Dirichlet series ⋮ Rankin–Cohen brackets on Jacobi forms of several variables and special values of certain Dirichlet series ⋮ Rankin-Cohen brackets on Hermitian Jacobi forms and the adjoint of some linear maps

Cites Work

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• Rankin-Cohen brackets on Jacobi forms and the adjoint of some linear maps
• The construction of automorphic forms from the derivatives of given forms
• Cusp forms and special values of certain Dirichlet series
• Non-Archimedean L-functions of Siegel and Hilbert modular forms
• Sums involving the values at negative integers of \(L\)-functions of quadratic characters
• Construction of Jacobi cusp forms
• On Poincaré series of exponential type on Sp\(_ 2\)
• Modular forms and differential operators
• Rankin-Cohen operators for Jacobi and Siegel forms
• Mixed Siegel modular forms and special values of certain Dirichlet series
• Construction of Jacobi forms
• The adjoint of some linear maps constructed with the Rankin-Cohen brackets
• Siegel's modular forms and Dirichlet series. Course given at the University of Maryland, 1969-1970
• Computations of Siegel Modular Forms of Genus Two
• Estimates for fourier coefficients of siegel cusp forms of degree two, II
• RANKIN–COHEN TYPE DIFFERENTIAL OPERATORS FOR SIEGEL MODULAR FORMS
• Siegel cusp forms and special values of dirichlet series of rankin type
• On Siegel Modular Forms of Genus Two
• Estimates for Fourier coefficients of Siegel cusp forms

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