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

页码：408 / 422

页数：15

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