Ramanujan's "Lost" notebook IX: the partial theta function as an entire function

被引：15
|
作者：
Andrews, GE [1 ]
机构：
[1] Penn State Univ, Number Theory Grp, Dept Math, University Pk, PA 16802 USA
来源：
ADVANCES IN MATHEMATICS | 2005年 / 191卷 / 02期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1016/j.aim.2004.03.013
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish the infinite product expansion for Sigma(ngreater than or equal to0) a(n) q(n2). This is a corrected version of the expansion stated in Ramanujan's "Lost" Notebook. The proof requires the study of a new family of polynomials which while not orthogonal have many similar properties. (C) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码：408 / 422
页数：15
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