Generalizations of Alder's conjecture via a conjecture of Kang and Park

DOI10.1007/s40993-020-00233-xzbMath1456.05012arXiv2010.08646OpenAlexW3122872541WikidataQ123277811 ScholiaQ123277811MaRDI QIDQ2221704

Holly Swisher, Ryan Tamura, Simran Khunger, Adriana L. Duncan

Publication date: 2 February 2021

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

Full work available at URL: https://arxiv.org/abs/2010.08646

zbMATH Keywords

partitionsRogers-Ramanujan identitiesAlder's conjecture

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Forms of half-integer weight; nonholomorphic modular forms (11F37) Elementary theory of partitions (11P81) Analytic theory of partitions (11P82) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (2)

Generalized Alder-type partition inequalities ⋮ On generalizations of a conjecture of Kang and Park

Cites Work

• Unnamed Item
• A general estimation for partitions with large difference: for even case
• An analogue of Alder-Andrews conjecture generalizing the 2nd Rogers-Ramanujan identity
• On a partition problem of H. L. Alder
• Asymptotische Aussagen über Partitionen
• Über Partitionen mit Differenzenbedingungen
• Proof of the Alder-Andrews conjecture
• Alder's conjecture
• Partitions with difference conditions and Alder's conjecture
• A General Theorem on Partitions with Difference Conditions
• The nonexistence of certain identities in the theory of partitions and compositions
• Two nonexistence theorems on partitions

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