KnowraInteger partitionLinked fromLinked fromThe 20 pages that link to Integer partition, each with the reason it gives.All 20Related 11Narrower topic 5Compared with 4Generating functionRelated: Partition generating functions encode restrictions such as allowed part sizes and multiplicities.Lagrange's four-square theoremRelated: A four-square representation is a constrained additive decomposition with square summands.Integer sequenceRelated: Counting partitions by size produces a central integer sequence.Gaussian binomial coefficientRelated: Gaussian coefficients also generate partition identities and count partitions under bounds.Jacobi triple productRelated: Generating functions derived from the identity encode restricted integer partitions.Pólya enumeration theoremRelated: Cycle types are partitions of the number of positions being permuted.Fermat polygonal number theoremRelated: The theorem guarantees a partition whose parts are n-gonal numbers, with at most n terms.Muirhead's inequalityRelated: Sorted exponent vectors in Muirhead comparisons are partitions of the same degree.Zeckendorf's theoremRelated: Zeckendorf representations are partitions with Fibonacci summands and two extra restrictions.Rogers–Ramanujan continued fractionRelated: The associated Rogers–Ramanujan series count partitions subject to difference restrictions.Twelvefold wayRelated: Occupancy counts of indistinguishable boxes lead to integer partitions when the box count varies.