Combinatorial proofs of inequalities involving the number of partitions with parts separated by parity

Cristina Ballantine; Amanda Welch

Combinatorial proofs of inequalities involving the number of partitions with parts separated by parity

Cristina Ballantine, Amanda Welch

Research output: Working paper › Preprint

Abstract

We consider the number of various partitions of $n$ with parts separated by parity and prove combinatorially several inequalities between these numbers. For example, we show that for $n\geq 5$ we have $p_{od}^{eu}(n)

Original language	Undefined/Unknown
State	Published - May 31 2024

Keywords

math.CO
math.NT
05A17, 05A20, 11P81

Access to Document

2406.00139v1

Cite this

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abstract = " We consider the number of various partitions of $n$ with parts separated by parity and prove combinatorially several inequalities between these numbers. For example, we show that for $n\geq 5$ we have $p_{od}^{eu}(n)",

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AU - Welch, Amanda

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M3 - Preprint

BT - Combinatorial proofs of inequalities involving the number of partitions with parts separated by parity

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