Fungrim home page

Fungrim entry: df3c07

p ⁣(n)<p ⁣(n+1)p\!\left(n\right) \lt p\!\left(n + 1\right)
Assumptions:n∈Z≥1n \in \mathbb{Z}_{\ge 1}
TeX:
p\!\left(n\right) \lt p\!\left(n + 1\right)

n \in \mathbb{Z}_{\ge 1}
Definitions:
Fungrim symbol Notation Short description
PartitionsPp ⁣(n)p\!\left(n\right) Integer partition function
ZZGreaterEqualZ≥n\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

Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2019-06-18 07:49:59.356594 UTC