Notes on Rankin-Cohen brackets
SCIE
SCOPUS
- Title
- Notes on Rankin-Cohen brackets
- Authors
- Choie, Y; Lee, MH
- Date Issued
- 2011-05
- Publisher
- SPRINGER
- Abstract
- The Rankin-Cohen product of two modular forms is known to be a modular form. The same formula can be used to define the Rankin-Cohen product of two holomorphic functions f and g on the upper half-plane. Assuming that this product is a modular form, we prove that both f and g are modular forms if one of them is. We interpret this result in terms of solutions of linear ordinary differential equations.
- Keywords
- Modular forms; Rankin-Cohen brackets
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/17483
- DOI
- 10.1007/S11139-010-9229-2
- ISSN
- 1382-4090
- Article Type
- Article
- Citation
- RAMANUJAN JOURNAL, vol. 25, no. 1, page. 141 - 147, 2011-05
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