Formulas for the number of partitions related to the Rogers-Ramanujan identities

DOI10.1080/09720529.2020.1819678zbMath1496.05006OpenAlexW3100094938MaRDI QIDQ5043943

Wagner Ferreira Santos, Raphael Gustavo D'Almeida Vilamiu, Mateus Alegri

Publication date: 6 October 2022

Published in: Journal of Discrete Mathematical Sciences and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/09720529.2020.1819678

zbMATH Keywords

Rogers-Ramanujan identitiesinteger partitionsclosed formulas

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Analytic theory of partitions (11P82) Partition identities; identities of Rogers-Ramanujan type (11P84)

Cites Work

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• A formula for the partition function that ``counts
• Bijective proofs using two-line matrix representations for partitions
• New two-line arrays representing partitions
• New insight into the partition theory of integers related to problems of thermodynamics and mesoscopic physics
• On an elementary proof of some asymptotic formulas in the theory of partitions
• Bijections between Lattice Paths and Plane Partitions
• Efficient implementation of the Hardy–Ramanujan–Rademacher formula

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