A note on the partitions involving parts of \(k\) different magnitudes

DOI10.1016/j.jnt.2015.10.021zbMath1329.05023OpenAlexW2215941376MaRDI QIDQ907473

Mircea Merca

Publication date: 25 January 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2015.10.021

zbMATH Keywords

partitionsdivisors

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (7)

Lambert series and conjugacy classes in \(\mathrm{GL}\) ⋮ Binomial transforms and integer partitions into parts of \(k\) different magnitudes ⋮ Monochromatic strictly ascending waves and permutation pattern waves ⋮ On the number of partitions into parts of \(k\) different magnitudes ⋮ Unordered Factorizations with $k$ Parts ⋮ Restricted k-color partitions, II ⋮ On relations for the partitions of numbers

Cites Work

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• The truncated pentagonal number theorem
• A truncated Jacobi triple product theorem
• Proofs of two conjectures on truncated series
• Stacked lattice boxes
• Two truncated identities of Gauss
• A new look on the generating function for the number of divisors

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