New congruences for k-tuples t-core partitions

被引：0

作者：

Saikia N. ^{[1
]}

Boruah C. ^{[1
]}

机构：

[1] Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh, 791112, Arunachal Pradesh

来源：

The Journal of Analysis | 2018年 / 26卷 / 1期

关键词：

k-tuple; Partition congruence; q-series identities; t-core partition;

D O I：

10.1007/s41478-017-0065-2

中图分类号：

学科分类号：

摘要：

Let At,k(n) denote the number of partition k-tuples of n where each partition is t-core. In this paper, we prove some Ramanujan-type congruences for the partition function At,k(n) when (t, k) = (3 , 4) , (3,9), (4,8), (5, 6), (8, 4), (9, 3) and (9, 6) by employing q-series identities. © 2017, Forum D'Analystes, Chennai.

引用

页码：27 / 37

页数：10

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