Arithmetic properties of l-regular partitions and l-regular bipartitions

被引：0

作者：

Shruthi, B. R. Srivatsa ^{[1
]}

Kumar, B. R. Srivatsa ^{[1
]}

机构：

[1] Manipal Acad Higher Educ, Dept Math, Manipal Inst Technol, Manipal 576104, India

来源：

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2024年

关键词：

l-regular partition; l-regular bipartition; q-identity; Partition congruence; Continued fraction; CONGRUENCES;

D O I：

10.1007/s12215-024-01082-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For any positive integer l, let b(l )(n) and B-l (n) represent the number of l-regular partitions and l-regular bipartitions respectively. By employing q-identities, we prove new congruences for b(11)(n), b(19)(n), b(55)(n), B-11(n) and B-13(n).

引用

页数：10

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