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L-series for Vector-valued Modular Formsopen access
- Authors
- Kim B.[Kim B.]; Lim S.[Lim S.]
- Issue Date
- Aug-2016
- Publisher
- MATHEMATICAL SOC REP CHINA
- Keywords
- L-series; Period polynomials; Vector-valued harmonic weak Maass forms; Vector-valued modular forms
- Citation
- TAIWANESE JOURNAL OF MATHEMATICS, v.20, no.4, pp.705 - 722
- Indexed
- SCIE
SCOPUS
- Journal Title
- TAIWANESE JOURNAL OF MATHEMATICS
- Volume
- 20
- Number
- 4
- Start Page
- 705
- End Page
- 722
- ISSN
- 1027-5487
- Abstract
- Motivated by the recent works of Bringmann, Guerzhoy, Kent, and Ono [4] and Bringmann, Fricke, and Kent [3], we introduce L-series for vector-valued weakly holomorphic cusp forms, and mock modular period polynomials for vector-valued harmonic weak Maass forms. In particular, we will discuss an integral representation of this new L-series and the limiting behavior of special values. Moreover, we also give relations between mock modular periods and L-series for vector-valued harmonic weak Maass forms.
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Related Researcher
- LIM, SU BONG
- Education (Mathematics Education)