Faculty Publications
Hecke Operators On Jacobi-Like Forms
Document Type
Article
Journal/Book/Conference Title
Canadian Mathematical Bulletin
Volume
44
Issue
3
First Page
282
Last Page
291
Abstract
Jacobi-like forms for a discrete subgroup Γ ⊂ SL(2, ℝ) are formal power series with coefficients in the space of functions on the Poincaré upper half plane satisfying a certain functional equation, and they correspond to sequences of certain modular forms. We introduce Hecke operators acting on the space of Jacobi-like forms and obtain an explicit formula for such an action in terms of modular forms. We also prove that those Hecke operator actions on Jacobi-like forms are compatible with the usual Hecke operator actions on modular forms.
Department
Department of Mathematics
Original Publication Date
1-1-2001
DOI of published version
10.4153/CMB-2001-028-6
Recommended Citation
Lee, Min Ho and Chul Myung, Hyo, "Hecke Operators On Jacobi-Like Forms" (2001). Faculty Publications. 3575.
https://scholarworks.uni.edu/facpub/3575
