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
收藏
页码：185 / 202
页数：18
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