Differential operators on Hilbert modular forms
SCIE
SCOPUS
- Title
- Differential operators on Hilbert modular forms
- Authors
- Choie, Y; Kim, H; Richter, OK
- Date Issued
- 2007-01
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Abstract
- We investigate differential operators and their compatibility with subgroups of SL2(R)(n). In particular, we construct Rankin-Cohen brackets for Hilbert modular forms, and more generally, multilinear differential operators on the space of Hilbert modular forms. As an application, we explicitly determine the Rankin-Cohen bracket of a Hilbert-Eisenstein series and an arbitrary Hilbert modular form. We use this result to compute the Petersson inner product of such a bracket and a Hilbert modular cusp form. (C) 2006 Elsevier Inc. All rights reserved.
- Keywords
- JACOBI FORMS; THETA-FUNCTIONS; NUMBER-FIELDS; HEAT OPERATOR
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/23589
- DOI
- 10.1016/j.jnt.2006.03.005
- ISSN
- 0022-314X
- Article Type
- Article
- Citation
- JOURNAL OF NUMBER THEORY, vol. 122, no. 1, page. 25 - 36, 2007-01
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