L-series for Vector-valued Modular Forms

被引：3

作者：

Kim, Byungchan ^{[1
]}

Lim, Subong ^{[2
]}

机构：

[1] Seoul Natl Univ Sci & Technol, Sch Liberal Arts, 232 Gongneung Ro, Seoul 01811, South Korea

[2] Sungkyunkwan Univ, Dept Math Educ, 25-2 Sungkyunkwan Ro, Seoul 03063, South Korea

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2016年 / 20卷 / 04期

基金：

新加坡国家研究基金会;

关键词：

L-series; Vector-valued modular forms; Vector-valued harmonic weak Maass forms; Period polynomials;

D O I：

10.11650/tjm.20.2016.5976

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：705 / 722

页数：18

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