RANKIN-COHEN BRACKETS ON HERMITIAN JACOBI FORMS AND THE ADJOINT OF SOME LINEAR MAPS

被引：1
作者：
Sumukha, S. [1 ]
Singh, Sujeet Kumar [2 ]
机构：
[1] Natl Inst Technol Karnatka, Dept Math & Computat Sci, Surathkal 575025, Mangaluru, India
[2] Indian Inst Sci Educ & Res, Dept Math, Bhopal Bypass Rd, Bhauri 462066, Madhya Pradesh, India
来源：
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI | 2021年 / 65卷 / 01期
关键词：
Hermitian Jacobi forms; Rankin-Cohen bracket; adjoint map; SPECIAL VALUES; CONSTRUCTION;
D O I：
10.7169/facm/1890
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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页码：61 / 72
页数：12
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