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A basis for the space of weakly holomorphic Drinfeld modular forms for GL(2)(A)
- Authors
- Choi, SoYoung
- Issue Date
- Mar-2022
- Publisher
- Academic Press
- Keywords
- Weakly holomorphic Drinfeld modular forms; Congruences; Generating functions
- Citation
- Journal of Number Theory, v.232, pp 101 - 117
- Pages
- 17
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Number Theory
- Volume
- 232
- Start Page
- 101
- End Page
- 117
- ISSN
- 0022-314X
1096-1658
- Abstract
- We construct a canonical basis for the space of weakly holomorphic Drinfeld modular forms. And we find that the basis elements satisfy a generating function and the duality among coefficients of the basis elements. Moreover we obtain the congruence properties of t-expansion coefficients of these functions under some conditions. (c) 2019 Elsevier Inc. All rights reserved.
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