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

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Resumen

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)

Idioma original	Undefined/Unknown
Estado	Published - may 31 2024

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2406.00139v1

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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\textbackslash{}geq 5\$ we have \$p\_\{od\}\textasciicircum{}\{eu\}(n)",

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author = "Cristina Ballantine and Amanda Welch",

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AU - Welch, Amanda

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N2 - 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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