Rankin-Cohen operators for Jacobi and Siegel forms
SCIE
SCOPUS
- Title
- Rankin-Cohen operators for Jacobi and Siegel forms
- Authors
- Choie, Y; Eholzer, W
- Date Issued
- 1998-02
- Publisher
- ACADEMIC PRESS INC
- Abstract
- Far any non-negative integer nu we construct esplicitly [nu/2] + 1 independent covariant bilinear differential operators from J(k,m)xJ(k',m') to J(k+k'+nu,m+m'). As an application we construct a covariant bilinear differential operator mapping S-k((2))xS(k')((2)) to S-k+k'+c((2)). Here J(k,m) denotes the space of Jacobi forms of weight k and index m and S-k((2)) the space of Siegel modular forms of degree 2 and weight k. The covariant bilinear differential operators constructed are analogous to operators already studied in the elliptic case by R. Rankin and H. Cohen and we call them Rankin-Cohen operators. (C) 1998 Academic Press.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/20870
- DOI
- 10.1006/jnth.1997.2203
- ISSN
- 0022-314X
- Article Type
- Article
- Citation
- JOURNAL OF NUMBER THEORY, vol. 68, no. 2, page. 160 - 177, 1998-02
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