On the Parity of p (n, 3) and p_Ψ (n, 3)

Key Points

The parities of p(n,3) and pΨ(n,3) are examined to uncover relationships.
Findings show a distinct connection in the behavior of these partition types regarding their parities.
This analysis involves theoretical exploration of partitions and relatively prime conditions.
Understanding these parities may enhance insights into partition theory and its applications.

Abstract

A partition of n is relatively prime if its parts form a relatively prime set. The number of partitions of n into exactly k parts is denoted by p (n, k) and the number of relatively prime partitions into exactly k parts is denoted by pΨ (n, k). In this paper we deal with the parities of p (n, 3) and pΨ (n, 3).

Mark Helpful

Bookmark

Relay

Cite This Study

Mohamed El Bachraoui (Wed,) studied this question.

synapsesocial.com/papers/68a370e80a429f79733333f3 https://doi.org/https://doi.org/10.55016/ojs/cdm.v5i2.62030

Mark Helpful

Bookmark

Relay