Fungrim entry: df3c07

p(n) < p\!\left(n + 1\right)

Assumptions:

n \in \mathbb{Z}_{\ge 1}

TeX:

p(n) < p\!\left(n + 1\right)

n \in \mathbb{Z}_{\ge 1}

Definitions:

Fungrim symbol	Notation	Short description
`PartitionsP`	$p(n)$	Integer partition function
`ZZGreaterEqual`	$\mathbb{Z}_{\ge n}$	Integers greater than or equal to n

Source code for this entry:

Entry(ID("df3c07"),
    Formula(Less(PartitionsP(n), PartitionsP(Add(n, 1)))),
    Variables(n),
    Assumptions(Element(n, ZZGreaterEqual(1))))

Topics using this entry

2021-03-15 19:12:00.328586 UTC