A note on the parity of broken 7-diamond partitions

被引：1

作者：

Dai, Haobo ^{[1
]}

机构：

[1] Anhui Univ Sci & Technol, Sch Sci, Middle Shungeng Rd 168, Huainan 232001, Peoples R China

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2016年 / 12卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Broken 7-diamond partition; binary quadratic forms; modular forms; congruence; K-DIAMOND PARTITIONS; 3-DIAMOND PARTITIONS; ETA-QUOTIENTS; CONGRUENCES; ANDREWS; FORMS;

D O I：

10.1142/S1793042116501025

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we find many new parity results for broken 7-diamond partitions by using a result of Berkovich and Patane. For example, we prove that Delta(7) (8.2(6 alpha) n + 8.2(6 alpha-1) + 2/3) equivalent to 0 (mod 2), for all n >= 0 and alpha >= 1.

引用

页码：1669 / 1674

页数：6

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