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.
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页码：224 / 242
页数：19
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