Combinatorial proofs and generalizations of conjectures related to Euler's partition theorem
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Publication:1633603
DOI10.1016/j.ejc.2018.09.005zbMath1402.05011arXiv1801.06815OpenAlexW2894897179WikidataQ113875508 ScholiaQ113875508MaRDI QIDQ1633603
Publication date: 20 December 2018
Published in: European Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.06815
Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17)
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The dual form of Beck type identities ⋮ Part-Frequency Matrices, II: Recent Work ⋮ On a partition identity of Lehmer ⋮ On certain partition bijections related to Euler's partition problem ⋮ Compositions with restricted parts ⋮ Beck-type identities: new combinatorial proofs and a modular refinement ⋮ Refinements of Beck-type partition identities ⋮ Partitions associated with two fifth-order mock theta functions and Beck-type identities ⋮ A new generalization of the minimal excludant arising from an analogue of Franklin's identity ⋮ Unnamed Item ⋮ Counting the parts divisible by k in all the partitions of n whose parts have multiplicity less than k ⋮ Beck-type companion identities for Franklin's identity via a modular refinement ⋮ Combinatorial proofs of two Euler-type identities due to Andrews ⋮ Generalization of two problems of George Beck ⋮ Composition analogues of Beck's conjectures on partitions ⋮ Beck-type identities for Euler pairs of order \(r\)
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