Gordon's theorem for overpartitions.
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Publication:1406752
DOI10.1016/S0097-3165(03)00116-XzbMath1065.11083OpenAlexW2023497729MaRDI QIDQ1406752
Publication date: 7 September 2003
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0097-3165(03)00116-x
Related Items (67)
Lambert series and conjugacy classes in \(\mathrm{GL}\) ⋮ The overpartition function modulo small powers of 2 ⋮ Overpartition pairs ⋮ Bressoud style identities for regular partitions and overpartitions ⋮ Congruences modulo 8 for \((2,k)\)-regular overpartitions for odd \(k > 1\) ⋮ Congruences for restricted plane overpartitions modulo 4 and 8 ⋮ On the Ramanujan-type congruences modulo 8 for the overpartitions into odd parts ⋮ Congruences for \([j, k\)-overpartitions with even parts distinct] ⋮ Jacobi's four and eight squares theorems and partitions into distinct parts ⋮ New congruences for \(\ell\)-regular overpartition pairs ⋮ Unnamed Item ⋮ Finite difference of the overpartition function ⋮ Congruences for Andrews' \((k,i)\)-singular overpartitions ⋮ Arithmetic properties of Andrews' singular overpartitions ⋮ Singular overpartitions ⋮ Arithmetic properties of singular overpartition pairs without multiples of k ⋮ Overpartitions and Bressoud's conjecture. I ⋮ Almost 3-regular overpartitions ⋮ Rademacher-type formulas for restricted partition and overpartition functions ⋮ Partitions with rounded occurrences and attached parts ⋮ IDENTITIES OF THE ROGERS–RAMANUJAN–SLATER TYPE ⋮ Infinite families of congruences for k-regular overpartitions ⋮ THEOREMS OF LEGENDRE TYPE FOR OVERPARTITIONS ⋮ Modulo d extension of parity results in Rogers–Ramanujan–Gordon type overpartition identities ⋮ Combinatorial proofs and refinements of three partition theorems of Andrews ⋮ Positive differences of overpartitions with separated parts ⋮ Congruences for overpartitions with \(\ell\)-regular over-lined parts ⋮ Congruences for \(\ell\)-regular overpartition for \(\ell \in \{5,6,8\}\) ⋮ Congruences modulo 9 for singular overpartitions ⋮ From a Rogers's identity to overpartitions ⋮ On the number of overpartitions into odd parts ⋮ An extension to overpartitions of the Rogers-Ramanujan identities for even moduli ⋮ Overpartitions and real quadratic fields ⋮ A THEOREM ON SEVEN-COLORED OVERPARTITIONS AND ITS APPLICATIONS ⋮ Unnamed Item ⋮ Arithmetic properties of $\ell$-regular overpartition pairs ⋮ Overpartitions, lattice paths, and Rogers-Ramanujan identities ⋮ Overpartition pairs and two classes of basic hypergeometric series ⋮ An Andrews-Gordon type identity for overpartitions ⋮ On the number of l-regular overpartitions ⋮ On identities of the Rogers-Ramanujan type ⋮ An overpartition analogue of the \(q\)-binomial coefficients ⋮ Congruences for \(\ell \)-regular overpartitions and Andrews' singular overpartitions ⋮ New relations for the number of partitions with distinct even parts ⋮ 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 ⋮ Andrews style partition identities ⋮ Jack superpolynomials with negative fractional parameter: clustering properties and super-Virasoro ideals ⋮ Some congruences modulo 2, 8 and 12 for Andrews' singular overpartitions ⋮ RANK AND CONGRUENCES FOR OVERPARTITION PAIRS ⋮ Some new congruences for Andrews' singular overpartition pairs ⋮ Unnamed Item ⋮ New congruences for $\ell$-regular overpartitions ⋮ SUMS OF SQUARES AND PARTITION CONGRUENCES ⋮ On a nonlinear relation for computing the overpartition function ⋮ Unnamed Item ⋮ Overpartition analogues for the generalized Rogers-Ramanujan identities of Bressoud ⋮ Arithmetic properties for \(\ell\)-regular partition functions with distinct even parts ⋮ Unnamed Item ⋮ Certain eta-quotients and \(\ell \)-regular overpartitions ⋮ Infinite families of congruences for \(m\)-regular \([j, k\)-overpartitions in two colors] ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The Gaussian coefficients and overpartitions ⋮ Congruences for \(\ell\)-regular overpartitions into odd parts
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