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

页码：400 / 409

页数：10

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