Identities involving sum of divisors, compositions and integer partitions hiding in the \(q\)-binomial theorem

DOI10.1007/S40863-023-00389-1zbMATH Open1542.1103MaRDI QIDQ6566477

Mateus Alegri

Publication date: 3 July 2024

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

partitionscompositionsJacobi identity\(q\)-binomial theoremEuler identityGauss identity\(k\)-colored partitions

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Combinatorial aspects of partitions of integers (05A17) Multiple sequences and series (40B05) Partition identities; identities of Rogers-Ramanujan type (11P84) Function-theoretic methods (including power series methods and semicontinuous methods) for summability (40C15)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Some inequalities for \(k\)-colored partition functions
• On a generalized crank for \(k\)-colored partitions
• Fourier coefficients of powers of the Dedekind eta function
• A mathematician's apology.
• On cyclotomic factors of polynomials related to modular forms
• Enumerative combinatorics. Volume 2.
• Compositions, Partitions, and Fibonacci Numbers
• Further Identities of the Rogers-Ramanujan Type

Related Items (1)

On Ramanujan's tau-function

This page was built for publication: Identities involving sum of divisors, compositions and integer partitions hiding in the \(q\)-binomial theorem

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6566477)