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September 2021 Rankin--Cohen brackets on Hermitian Jacobi forms and the adjoint of some linear maps
S Sumukha, Singh Sujeet Kumar
Funct. Approx. Comment. Math. 65(1): 61-72 (September 2021). DOI: 10.7169/facm/1890

Abstract

Given a fixed Hermitian Jacobi cusp form, we define a family of linear operators between spaces of Hermitian Jacobi cusp forms using Rankin--Cohen brackets. We compute the adjoint maps of such a family with respect to the Petersson scalar product. The Fourier coefficients of the Hermitian Jacobi cusp forms constructed using this method involve special values of certain Dirichlet series associated to Hermitian Jacobi cusp forms.

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S Sumukha. Singh Sujeet Kumar. "Rankin--Cohen brackets on Hermitian Jacobi forms and the adjoint of some linear maps." Funct. Approx. Comment. Math. 65 (1) 61 - 72, September 2021. https://doi.org/10.7169/facm/1890

Information

Published: September 2021
First available in Project Euclid: 13 September 2021

Digital Object Identifier: 10.7169/facm/1890

Subjects:
Primary: 11F50
Secondary: 11F25, 11F66

Rights: Copyright © 2021 Adam Mickiewicz University

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Vol.65 • No. 1 • September 2021
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