CONGRUENCES MODULO 2 FOR CERTAIN PARTITION FUNCTIONS

被引：2
|
作者：
Naika, M. S. Mahadeva [1 ]
Hemanthkumar, B. [1 ]
Bharadwaj, H. S. Sumanth [1 ]
机构：
[1] Bangalore Univ, Dept Math, Cent Coll Campus, Bengaluru 560001, Karnataka, India
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2016年 / 93卷 / 03期
关键词：
congruence; partition; theta function;
D O I：
10.1017/S0004972715001367
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let b(3,5)(n) denote the number of partitions of n into parts that are not multiples of 3 or 5. We establish several infinite families of congruences modulo 2 for b(3,5)(n). In the process, we also prove numerous parity results for broken 7-diamond partitions.
引用
收藏
页码：400 / 409
页数：10
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