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Bounds for the coefficients of cusp forms for Gamma(0)(3)open access
- Authors
- Choi, SoYoung; Im, Bo-Hae
- Issue Date
- Jul-2018
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Weakly holomorphic modular form
- Citation
- JOURNAL OF NUMBER THEORY, v.188, pp.48 - 70
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF NUMBER THEORY
- Volume
- 188
- Start Page
- 48
- End Page
- 70
- ISSN
- 0022-314X
- Abstract
- We give bounds of the coefficients of cusp forms f for Gamma(0)(3) in terms of its first d(k) numbers of coefficients off and f vertical bar W-k(3), where W-3 is the Fricke involution of level 3, and d(k) is the dimension of the space S-k (Gamma(0) (3)) of weight k cusp forms for Gamma(0)(3). In particular, we find bounds of the coefficients of cusp forms for Gamma(+)(0)(3). (C) 2018 Elsevier Inc. All rights reserved.
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