A NEW CLASS OF THETA-FUNCTION IDENTITIES ORIGINATING IN RAMANUJANS NOTEBOOKS

被引：14

作者：

BERNDT, BC

ZHANG, LC

机构：

[1] UNIV ILLINOIS,DEPT MATH,URBANA,IL 61801

[2] SW MISSOURI STATE UNIV,DEPT MATH,SPRINGFIELD,MO 65804

来源：

JOURNAL OF NUMBER THEORY | 1994年 / 48卷 / 02期

基金：

英国工程与自然科学研究理事会;

关键词：

D O I：

10.1006/jnth.1994.1064

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the unorganized pages of his second notebook, Ramanujan offers two new theta-function identities that have a form different from other identities found in the literature. Using the theory of modular forms, we prove a general theorem containing Ramanujan's two identities as special cases. (C) 1994 Academic Press, Inc.

引用

页码：224 / 242

页数：19

共 9 条

[1] RAMANUJAN LOST NOTEBOOK .7. THE 6TH ORDER MOCK THETA FUNCTIONS [J].