Overpartition Theorems of the Rogers–Ramanujan Type
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Publication:4819149
DOI10.1112/S0024610704005216zbMath1087.11062MaRDI QIDQ4819149
Publication date: 24 September 2004
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Related Items (35)
Lambert series and conjugacy classes in \(\mathrm{GL}\) ⋮ Overpartition pairs ⋮ Congruences for restricted plane overpartitions modulo 4 and 8 ⋮ On the Ramanujan-type congruences modulo 8 for the overpartitions into odd parts ⋮ Jacobi's four and eight squares theorems and partitions into distinct parts ⋮ The Corners of Core Partitions ⋮ Congruences for Andrews' \((k,i)\)-singular overpartitions ⋮ Singular overpartitions ⋮ Overpartitions and Bressoud's conjecture. I ⋮ Almost 3-regular overpartitions ⋮ Iteration process for multiple Rogers-Ramanujan identities ⋮ Parity in partition identities ⋮ Rademacher-type formulas for restricted partition and overpartition functions ⋮ Partitions with rounded occurrences and attached parts ⋮ IDENTITIES OF THE ROGERS–RAMANUJAN–SLATER TYPE ⋮ From a Rogers's identity to overpartitions ⋮ On the number of overpartitions into odd parts ⋮ Overpartitions and real quadratic fields ⋮ A THEOREM ON SEVEN-COLORED OVERPARTITIONS AND ITS APPLICATIONS ⋮ Overpartitions, lattice paths, and Rogers-Ramanujan identities ⋮ Overpartition pairs and two classes of basic hypergeometric series ⋮ New relations for the number of partitions with distinct even parts ⋮ Arithmetic properties of overpartition triples ⋮ An overpartition analogue of the Andrews-Göllnitz-Gordon theorem ⋮ A new look on the generating function for the number of divisors ⋮ A Rademacher type formula for partitions and overpartitions ⋮ An overpartition analogue of Bressoud's theorem of Rogers-Ramanujan-Gordon type ⋮ RANK AND CONGRUENCES FOR OVERPARTITION PAIRS ⋮ Combinatorial proofs and generalization of Bringmann, Lovejoy and Mahlburg's overpartition theorems ⋮ On the number of partitions with designated summands ⋮ A variant of \texttt{IdentityFinder} and some new identities of Rogers-Ramanujan-MacMahon type ⋮ On a nonlinear relation for computing the overpartition function ⋮ Congruences related to an eighth order mock theta function of Gordon and McIntosh ⋮ Unnamed Item ⋮ On weighted overpartitions related to some q-series in Ramanujan’s lost notebook
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