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Linear relations among half-integral weight Poincare seriesopen access
- Authors
- Choi, SoYoung; Kim, Chang Heon
- Issue Date
- 15-Dec-2015
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Half-integral weight modular forms; Weakly holomorphic modular forms; Harmonic weak Maass forms; Poincare series
- Citation
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.432, no.2, pp 1077 - 1094
- Pages
- 18
- Indexed
- SCI
SCIE
SCOPUS
- Journal Title
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- Volume
- 432
- Number
- 2
- Start Page
- 1077
- End Page
- 1094
- ISSN
- 0022-247X
1096-0813
- Abstract
- We construct an infinite family of half-integral weight Poincare series coming from vector valued harmonic weak Maass forms, and investigate linear relations among the Poincare series by applying a pairing between weakly holomorphic modular forms and harmonic weak Maass forms together with properties of Maass Poincare series. We also show that the Poincare series are characterized by the Fourier coefficients of half-integral weight cusp forms. (C) 2015 Elsevier Inc. All rights reserved.
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