TY - JOUR
T1 - L-series for vector-valued modular forms
AU - Kim, Byungchan
AU - Lim, Subong
N1 - Publisher Copyright:
© 2016, Mathematical Society of the Rep. of China. All rights reserved.
PY - 2016
Y1 - 2016
N2 - 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.
AB - 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.
KW - L-series
KW - Period polynomials
KW - Vector-valued harmonic weak Maass forms
KW - Vector-valued modular forms
UR - https://www.scopus.com/pages/publications/84979735999
U2 - 10.11650/tjm.20.2016.5976
DO - 10.11650/tjm.20.2016.5976
M3 - Article
AN - SCOPUS:84979735999
SN - 1027-5487
VL - 20
SP - 705
EP - 722
JO - Taiwanese Journal of Mathematics
JF - Taiwanese Journal of Mathematics
IS - 4
ER -