Sequences in overpartitions

DOI10.1007/s11139-022-00685-yarXiv2111.15003OpenAlexW3214844992MaRDI QIDQ6098235

George E. Andrews, Ali Kemal Uncu

Publication date: 13 June 2023

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.15003

zbMATH Keywords

determinantsoverpartitionspartition identities

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items

Asymmetric Rogers–Ramanujan type identities. I. The Andrews–Uncu conjecture, New proofs of some double sum Rogers-Ramanujan type identities, A Unified Approach to Unimodality of Gaussian Polynomials, Linked partition ideals and a family of quadruple summations, Multi-sum Rogers-Ramanujan type identities

Cites Work

• Unnamed Item
• Overpartitions into distinct parts without short sequences
• A Mathematica package for \(q\)-holonomic sequences and power series
• \texttt{qFunctions} -- a Mathematica package for \(q\)-series and partition theory applications
• Distinct parts partitions without sequences
• The continued fractions found in the unorganized portions of Ramanujan’s notebooks
• On Ramanujan’s continued fraction for (𝑞²;𝑞³)_{∞}/(𝑞;𝑞³)_{∞}
• Integrals, partitions, and cellular automata
• Advanced applications of the holonomic systems approach
• Partitions with short sequences and mock theta functions