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

DOI10.7169/facm/1703zbMath1441.11109OpenAlexW3023097129MaRDI QIDQ1664119

Brundaban Sahu, Moni Kumari

Publication date: 24 August 2018

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1512183766

zbMATH Keywords

Hilbert modular formsDirichlet seriesRankin-Cohen bracketsadjoint map

Mathematics Subject Classification ID

Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41) Hecke-Petersson operators, differential operators (several variables) (11F60) Dirichlet series in several complex variables associated to automorphic forms; Weyl group multiple Dirichlet series (11F68)

Cites Work

• Rankin-Cohen brackets on Jacobi forms and the adjoint of some linear maps
• The construction of automorphic forms from the derivatives of given forms
• Differential operators on Hilbert modular forms
• Jacobi forms and the heat operator. II
• Cusp forms and special values of certain Dirichlet series
• Construction of Jacobi cusp forms
• Modular forms and differential operators
• Jacobi forms and the heat operator
• Rankin-Cohen operators for Jacobi and Siegel forms
• Rankin-Cohen brackets on 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
• Hilbert cusp forms and special values of Dirichlet series of Rankin type
• RANKIN–COHEN TYPE DIFFERENTIAL OPERATORS FOR SIEGEL MODULAR FORMS
• Siegel cusp forms and special values of dirichlet series of rankin type
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