New congruences for broken k-diamond partitions

被引：0

作者：

Yu, Jing-Jun ^{[1
,2
]}

机构：

[1] Hangzhou Polytech, Hangzhou 311402, Peoples R China

[2] East China Normal Univ, Sch Math Sci, Shanghai 200241, Peoples R China

来源：

RAMANUJAN JOURNAL | 2024年 / 65卷 / 04期

关键词：

Diamond partitions; Eta-quotients; Modular forms; Congruences; ANDREWS;

D O I：

10.1007/s11139-024-00950-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Broken k-diamond partitions were introduced by Andrews and Paule. Letk(n) denotethe number of brokenk-diamond partitions ofn. In 2015, by using the theory ofRamanujan's theta function, Ahmed and Baruah established some congruences mod-ulo 2 for7(n). In this note, we continue to study the congruence properties of7(n).By using the theory of modular forms, we generalize the congruences proved byAhmed and Baruah. In addition, we also find two congruences modulo 2 for23(n)

引用

页码：1621 / 1629

页数：9

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