Partitions with fixed differences between largest and smallest parts
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Publication:2944779
DOI10.1090/S0002-9939-2015-12591-9zbMath1328.11106arXiv1406.3374OpenAlexW2050820552MaRDI QIDQ2944779
Matthias Beck, George E. Andrews, Neville Robbins
Publication date: 8 September 2015
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1406.3374
quasipolynomialinteger partitionrational generating functionfixed difference between largest and smallest parts
Combinatorial aspects of partitions of integers (05A17) Partition identities; identities of Rogers-Ramanujan type (11P84)
Related Items (11)
A polyhedral model of partitions with bounded differences and a bijective proof of a theorem of Andrews, Beck, and Robbins ⋮ An overpartition analogue of partitions with bounded differences between largest and smallest parts ⋮ Berkovich-Uncu type partition inequalities concerning impermissible sets and perfect power frequencies ⋮ On conjectures concerning the smallest part and missing parts of integer partitions ⋮ Overpartitions with bounded part differences ⋮ Some elementary partition inequalities and their implications ⋮ Refinements of the results on partitions and overpartitions with bounded part differences ⋮ PARTITIONS WITH AN ARBITRARY NUMBER OF SPECIFIED DISTANCES ⋮ A generalization of partition identities for first differences of partitions of \(n\) into at most \(m\) parts ⋮ \(k\)-regular partitions and overpartitions with bounded part differences ⋮ GENERALISATION OF A RESULT ON DISTINCT PARTITIONS WITH BOUNDED PART DIFFERENCES
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