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L -SERIES for VECTOR-VALUED WEAKLY HOLOMORPHIC MODULAR FORMS and CONVERSE THEOREMS
- Authors
- Lim, Subong; Raji, Wissam
- Issue Date
- 21-Jan-2025
- Publisher
- Cambridge University Press
- Keywords
- L-series; weakly holomorphic modular forms; Laplace transofrms
- Citation
- Canadian Journal of Mathematics
- Indexed
- SCIE
SCOPUS
- Journal Title
- Canadian Journal of Mathematics
- ISSN
- 0008-414X
1496-4279
- Abstract
- We introduce the L-series of weakly holomorphic modular forms using Laplace transforms and give their functional equations. We then determine converse theorems for vector-valued harmonic weak Maass forms, Jacobi forms, and elliptic modular forms of half-integral weight in Kohnen plus space. © The Author(s), 2025.
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Related Researcher
- LIM, SU BONG
- Education (Mathematics Education)