Analogues of Ramanujan's partition identities and congruences arising from his theta functions and modular equations

被引：42
|
作者：
Baruah, Nayandeep Deka [1 ]
Ojah, Kanan Kumari [1 ]
机构：
[1] Tezpur Univ, Dept Math Sci, Sonitpur 784028, India
来源：
RAMANUJAN JOURNAL | 2012年 / 28卷 / 03期
关键词：
Theta functions; Modular equations; Partitions; Partition congruences; CUBIC CONTINUED-FRACTION; CONJECTURE; PROOF;
D O I：
10.1007/s11139-011-9296-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the partition function defined by and prove some analogues of Ramanujan's partition identities. We also deduce some interesting partition congruences.
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页码：385 / 407
页数：23
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