Research PapersNo Access

Arithmetic properties of partition triples with odd parts distinct

Liuquan Wang

Department of Mathematics, National University of Singapore, Singapore 119076, Singapore

Department of Mathematics, Zhejiang University, Hangzhou 310027, P. R. China

https://doi.org/10.1142/S1793042115500773Cited by:2 (Source: Crossref)

Abstract

Let pod_-3(n) denote the number of partition triples of n where the odd parts in each partition are distinct. We find many arithmetic properties of pod_-3(n) involving the following infinite family of congruences: for any integers α ≥ 1 and n ≥ 0,

We also establish some arithmetic relations between pod(n) and pod_-3(n), as well as some congruences for pod_-3(n) modulo 7 and 11.

Keywords:

AMSC: 05A17, 11P83

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