Some continued fractions of the Rogers-Ramanujan type
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Publication:2533875
DOI10.1215/S0012-7094-65-03278-3zbMath0178.33404OpenAlexW2012324805MaRDI QIDQ2533875
Publication date: 1965
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1215/s0012-7094-65-03278-3
Related Items (78)
Lambert series and Ramanujan ⋮ On series expansions of Capparelli's infinite product ⋮ Asymptotic analogs of the Rogers-Ramanujan identities ⋮ On an extension of a combinatorial identity ⋮ THE 8-DISSECTION OF THE RAMANUJAN–GÖLLNITZ–GORDON CONTINUED FRACTION BY AN ITERATIVE METHOD ⋮ New theta-function identities and general theorems for the explicit evaluations of Ramanujan's continued fractions ⋮ Unnamed Item ⋮ Combinatorial Interpretation of a Generalized Basic Series ⋮ ON THE SERIES EXPANSION OF THE GÖLLNITZ–GORDON CONTINUED FRACTION ⋮ A motivated proof of the Göllnitz-Gordon-Andrews identities ⋮ Analogues of Ramanujan's partition identities ⋮ New modular relations involving cubes of the Göllnitz-Gordon functions ⋮ On modular relations for the Göllnitz-Gordon functions with application to partitions ⋮ The Rogers-Ramanujan-Gordon identities, the generalized Göllnitz-Gordon identities, and parity questions ⋮ Analysis of a generalized Lebesgue identity in Ramanujan's lost notebook ⋮ Göllnitz-Gordon identities and parity questions ⋮ Generalisations of Capparelli's and Primc's identities. I: Coloured Frobenius partitions and combinatorial proofs ⋮ Bilateral identities of the Rogers–Ramanujan type ⋮ Parity in partition identities ⋮ Separable integer partition classes ⋮ IDENTITIES OF THE ROGERS–RAMANUJAN–SLATER TYPE ⋮ On some continued fraction expansions of the Rogers-Ramanujan type ⋮ Schmidt-type theorems via weighted partition identities ⋮ Linked partition ideals, directed graphs and \(q\)-multi-summations ⋮ Andrews-Gordon type series for Capparelli's and Göllnitz-Gordon identities ⋮ Modular equations for cubes of the Rogers-Ramanujan and Ramanujan-Göllnitz-Gordon functions and their associated continued fractions ⋮ Some new proofs of modular relations for the Göllnitz-Gordon functions ⋮ New companions to the generalizations of the Göllnitz-Gordon identities ⋮ A Partition Function Connected with the Göllnitz–Gordon Identities ⋮ A general theory of identities of the Rogers-Ramanujan type ⋮ Ramanujan's ``lost notebook. II: Theta-function expansions ⋮ New partition theoretic interpretations of Rogers-Ramanujan identities ⋮ On 2- and 4-dissections for some infinite products ⋮ Some modular relations for the Göllnitz-Gordon functions by an even-odd method ⋮ On the values of continued fractions: \(q\)-series. ⋮ AN ANALOGUE OF EULER’S IDENTITY AND SPLIT PERFECT PARTITIONS ⋮ Unnamed Item ⋮ A three-way correspondence between partitions ⋮ 4-dissections and 8-dissections for some infinite products ⋮ Explicit evaluations of Ramanujan-Göllnitz-Gordon continued fraction ⋮ Structure of certain level 2 standard modules for \(A_5^{(2)}\) and the Göllnitz-Gordon identities ⋮ EXPLICIT EVALUATIONS OF TWO RAMANUJAN–SELBERG CONTINUED FRACTIONS ⋮ Modular relations for the nonic analogues of the Rogers-Ramanujan functions with applications to partitions ⋮ The Bressoud-Göllnitz-Gordon theorem for overpartitions of even moduli ⋮ Variation on a theme of Nathan Fine. New weighted partition identities ⋮ Basic series identities and combinatorics ⋮ On 3-way combinatorial identities ⋮ An overpartition analogue of the Andrews-Göllnitz-Gordon theorem ⋮ Some modular relations for the Göllnitz-Gordon functions and Ramanujan's modular equations ⋮ Andrews style partition identities ⋮ On an identity of Gessel and Stanton and the new little Göllnitz identities ⋮ Generalizations of the Andrews-Bressoud identities for the \(N = 1\) superconformal model \(SM(2, 4\nu )\) ⋮ Double series representations for Schur's partition function and related identities ⋮ Continued fractions and modular functions ⋮ Göllnitz-Gordon Partitions with Weights and Parity Conditions ⋮ On general two-point continued fraction expansions and Padé tables ⋮ Euler’s “De Partitio Numerorum” ⋮ Partition identities and a continued fraction of Ramanujan ⋮ q -Trinomial identities ⋮ On a continued fraction of order twelve and new Eisenstein series identities ⋮ Marking and shifting a part in partitions ⋮ Finding modular functions for Ramanujan-type identities ⋮ Some partition theorems of the Rogers-Ramanujan type ⋮ Partition Theorems Related to Some Identities of Rogers and Watson ⋮ From a Ramanujan-Selberg continued fraction to a Jacobian identity ⋮ A new property of partitions with applications to the Rogers-Ramanujan identities ⋮ Some variants of Ferrers diagrams ⋮ Partition identities ⋮ Several identities for certain products of theta functions ⋮ On self-conjugate split \(n\)-color partitions ⋮ Unnamed Item ⋮ Lifting Bailey pairs to WP-Bailey pairs ⋮ A q-CONTINUED FRACTION ⋮ Polynomial identities, indices, and duality for the \(N=1\) superconformal model \(SM(2,4\nu)\). ⋮ On the modified convergence of some continued fractions of Rogers- Ramanujan type ⋮ Partitions with non-repeating odd parts and combinatorial identities ⋮ Vanishing coefficients and identities concerning Ramanujan's parameters ⋮ On the work of Basil Gordon
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