Partition Theorems Related to Some Identities of Rogers and Watson

DOI10.2307/1997097zbMath0313.10012OpenAlexW4230660272MaRDI QIDQ4071806

Willard G. Connor

Publication date: 1975

Full work available at URL: https://doi.org/10.2307/1997097

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Elementary theory of partitions (11P81)

Related Items

Rogers-Ramanujan identities for n-color partitions ⋮ Combinatorial Interpretation of a Generalized Basic Series ⋮ Partitions with rounded occurrences and attached parts ⋮ A general theory of identities of the Rogers-Ramanujan type ⋮ New partition theoretic interpretations of Rogers-Ramanujan identities ⋮ AN ANALOGUE OF EULER’S IDENTITY AND SPLIT PERFECT PARTITIONS ⋮ Unnamed Item ⋮ An extension to overpartitions of the Rogers-Ramanujan identities for even moduli ⋮ On \(q\)-series and split lattice paths ⋮ Overpartition pairs and two classes of basic hypergeometric series ⋮ A gradient method for neutral systems ⋮ Basic series identities and combinatorics ⋮ On 3-way combinatorial identities ⋮ Lie algebraic approaches to classical partition identities ⋮ On self-conjugate split \(n\)-color partitions

Cites Work

• Unnamed Item
• q-identities of Auluck, Carlitz, and Rogers
• Some continued fractions of the Rogers-Ramanujan type
• A Combinatorial Generalization of the Rogers-Ramanujan Identities
• Partition theorems related to the Rogers-Ramanujan identities
• A Generalization of the Gollnitz-Gordon Partition Theorems
• The Mock Theta Functions (2)
• Further Identities of the Rogers-Ramanujan Type