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.
Citation
Byungchan Kim. Subong Lim. "$L$-series for Vector-valued Modular Forms." Taiwanese J. Math. 20 (4) 705 - 722, 2016. https://doi.org/10.11650/tjm.20.2016.5976
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