Identities and congruences for Ramanujan’s ω(q)

被引：0
|
作者：
Jan H. Bruinier
Ken Ono
机构：
[1] Technische Universität Darmstadt,Fachbereich Mathematik
[2] University of Wisconsin,Department of Mathematics
来源：
The Ramanujan Journal | 2010年 / 23卷
关键词：
Mock theta functions; Harmonic Maass forms; 11F37; 33D15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Recently, the authors constructed generalized Borcherds products where modular forms are given as infinite products arising from weight 1/2 harmonic Maass forms. Here we illustrate the utility of these results in the special case of Ramanujan’s mock theta function ω(q). We obtain identities and congruences modulo 512 involving the coefficients of ω(q).
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页码：151 / 157
页数：6
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