Mock period functions in higher level cases

被引：3

作者：

Choi, SoYoung ^{[1
]}

Kim, Chang Heon ^{[2
]}

机构：

[1] Dongguk Univ Gyeongju, Dept Math Educ, Gyeongju 780714, Gyeongbuk, South Korea

[2] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 415卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

Sesquiharmonic Maass forms; Mock period functions; L-functions; EICHLER COHOMOLOGY; AUTOMORPHIC-FORMS; VALUES;

D O I：

10.1016/j.jmaa.2013.12.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Generalizing the results of Bringmann, Diamantis and Raum [3] we investigate a generating series of non-critical values which can be interpreted as a mock period function and prove that non-critical values can be encoded into a sesquiharmonic Maass form in higher level cases. Moreover we prove Eichler-Shimura-type isomorphism for the space of period polynomials and for that of mock period functions in level p with p is an element of {2, 3}. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：499 / 512

页数：14

共 22 条

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