KnowraPentagonal number theoremLinked fromLinked fromThe 6 pages that link to Pentagonal number theorem, each with the reason it gives.All 6Broader topic 1Related 4Compared with 1Leonhard EulerBroader topic: Euler connected a product expansion to partition numbers through this striking identity.Integer partitionRelated: It yields a sparse recurrence for computing unrestricted partition numbers.Partition functionRelated: Its product form yields a recurrence for p(n).Jacobi triple productRelated: It follows as a specialization of the triple product and illustrates its product-to-series structure.q-seriesRelated: It reveals a striking sparse expansion of a fundamental q-product.Rogers–Ramanujan identitiesCompared with: It links partition products and series through a sparse signed expansion rather than restricted-part counts.