Overpartitions, lattice paths, and Rogers-Ramanujan identities
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Publication:2459496
DOI10.1016/j.jcta.2007.02.004zbMath1126.11056arXivmath/0601463OpenAlexW2950686903MaRDI QIDQ2459496
Olivier Mallet, Sylvie Corteel
Publication date: 7 November 2007
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0601463
partitionsRogers-Ramanujan identitieslattice pathsAndrews-Gordon identitiesoverpartitionssuccessive ranksGöllnitz-Gordon identitiesDurfee dissection
Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Elementary theory of partitions (11P81)
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Identities and inequalities for the \(M_2\)-rank of partitions without repeated odd parts modulo 8, IdentityFinder and Some New Identities of Rogers–Ramanujan Type, Overpartitions and Bressoud's conjecture. I, Rademacher-type formulas for restricted partition and overpartition functions, Partitions with rounded occurrences and attached parts, Combinatorial identities for tenth order mock theta functions, Homogeneous components in the moduli space of sheaves and Virasoro characters, An extension to overpartitions of the Rogers-Ramanujan identities for even moduli, Partitions with part difference conditions and Bressoud's conjecture, Jagged partitions and lattice paths, Overpartition pairs and two classes of basic hypergeometric series, An overpartition analogue of the Andrews-Göllnitz-Gordon theorem, A Rademacher type formula for partitions and overpartitions, An overpartition analogue of Bressoud's theorem of Rogers-Ramanujan-Gordon type, Kazhdan-Lusztig polynomials, tight quotients and Dyck superpartitions., Unnamed Item, Bilateral Bailey lemma and Rogers-Ramanujan identities, On a nonlinear relation for computing the overpartition function, A new approach in interpreting some mock theta functions, \(M_2\)-rank differences for partitions without repeated odd parts, Generalizations of Dyson’s rank on overpartitions
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