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Weakly holomorphic Hecke eigenforms and Hecke eigenpolynomialsopen access
- Authors
- Choi, SoYoung; Kim, Chang Heon
- Issue Date
- 26-Feb-2016
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Weakly holomorphic modular forms; Hecke eigenforms; Period polynomials
- Citation
- ADVANCES IN MATHEMATICS, v.290, pp 144 - 162
- Pages
- 19
- Indexed
- SCI
SCIE
SCOPUS
- Journal Title
- ADVANCES IN MATHEMATICS
- Volume
- 290
- Start Page
- 144
- End Page
- 162
- ISSN
- 0001-8708
1090-2082
- Abstract
- In the work of Bringmann, Guerzhoy, Kent and Ono [2] weakly holomorphic Hecke eigenforms are defined and constructed in the level one case by making use of harmonic weak Maass forms. In this paper we extend their results to higher level cases and give an explicit construction in terms of weakly holomorphic modular forms without relying on the theory of harmonic weak Maass forms. Moreover we find a basis for the space of period polynomials consisting of Hecke eigenpolynomials. (C) 2015 Elsevier Inc. All rights reserved.
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