ARITHMETIC PROPERTIES OF CERTAIN LEVEL ONE MOCK MODULAR FORMS

被引：2

作者：

Boylan, Matthew ^{[1
]}

机构：

[1] Univ S Carolina, Dept Math, Columbia, SC 29208 USA

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2010年 / 6卷 / 01期

基金：

美国国家科学基金会;

关键词：

Modular forms; mock theta functions; MAASS FORMS;

D O I：

10.1142/S1793042110002855

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In a recent work, Bringmann and Ono [4] show that Ramanujan's f(q) mock theta function is the holomorphic projection of a harmonic weak Maass form of weight 1/2. In this paper, we extend the work of Ono in [13]. In particular, we study holomorphic projections of certain integer weight harmonic weak Maass forms on SL(2)(Z) using Hecke operators and the differential theta-operator.

引用

页码：185 / 202

页数：18

共 14 条

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Bringmann, Kathrin
Ono, Ken
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Bringmann, Kathrin
Folsom, Amanda
Ono, Ken
[J]. COMPOSITIO MATHEMATICA, 2009, 145 (03) : 541 - 552
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